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Finding the Fourth Proportional to 1,547.45, 2,135.67 and 884.15

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Solution

The fourth proportional to 1,547.45, 2,135.67 and 884.15 is: 1,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.45 : 2,135.67 = 884.15 : x
  2. Step 2: Convert to fraction form
    1,547.45/2,135.67 = 884.15/x
  3. Step 3: Cross multiply
    1,547.45x = 2,135.67 × 884.15
  4. Step 4: Simplify right side
    1,547.45x = 1,888,252.63
  5. Step 5: Solve for x
    x = 1,888,252.63/1,547.45
  6. Step 6: Final answer
    x = 1,220.23

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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.