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Finding the Fourth Proportional to 2,397.55, 3,596.10 and 666.13

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Solution

The fourth proportional to 2,397.55, 3,596.10 and 666.13 is: 999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.55 : 3,596.10 = 666.13 : x
  2. Step 2: Convert to fraction form
    2,397.55/3,596.10 = 666.13/x
  3. Step 3: Cross multiply
    2,397.55x = 3,596.10 × 666.13
  4. Step 4: Simplify right side
    2,397.55x = 2,395,470.09
  5. Step 5: Solve for x
    x = 2,395,470.09/2,397.55
  6. Step 6: Final answer
    x = 999.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.