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Finding the Fourth Proportional to 2,666.90, 3,680.00 and 1,487.90

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Solution

The fourth proportional to 2,666.90, 3,680.00 and 1,487.90 is: 2,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.90 : 3,680.00 = 1,487.90 : x
  2. Step 2: Convert to fraction form
    2,666.90/3,680.00 = 1,487.90/x
  3. Step 3: Cross multiply
    2,666.90x = 3,680.00 × 1,487.90
  4. Step 4: Simplify right side
    2,666.90x = 5,475,446.16
  5. Step 5: Solve for x
    x = 5,475,446.16/2,666.90
  6. Step 6: Final answer
    x = 2,053.12

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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.