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Finding the Fourth Proportional to 2,235, 3,084.18 and 1,290.76

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Solution

The fourth proportional to 2,235, 3,084.18 and 1,290.76 is: 1,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235 : 3,084.18 = 1,290.76 : x
  2. Step 2: Convert to fraction form
    2,235/3,084.18 = 1,290.76/x
  3. Step 3: Cross multiply
    2,235x = 3,084.18 × 1,290.76
  4. Step 4: Simplify right side
    2,235x = 3,980,936.18
  5. Step 5: Solve for x
    x = 3,980,936.18/2,235
  6. Step 6: Final answer
    x = 1,781.18

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Half scale
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Double scale
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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.