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Finding the Fourth Proportional to 1,117.87, 1,546.12 and 884.13

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Solution

The fourth proportional to 1,117.87, 1,546.12 and 884.13 is: 1,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.87 : 1,546.12 = 884.13 : x
  2. Step 2: Convert to fraction form
    1,117.87/1,546.12 = 884.13/x
  3. Step 3: Cross multiply
    1,117.87x = 1,546.12 × 884.13
  4. Step 4: Simplify right side
    1,117.87x = 1,366,966.38
  5. Step 5: Solve for x
    x = 1,366,966.38/1,117.87
  6. Step 6: Final answer
    x = 1,222.83

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,118.87, 1,547.50 and 885.13
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.