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Finding the Fourth Proportional to 2,527, 3,487.86 and 1,479.24

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Solution

The fourth proportional to 2,527, 3,487.86 and 1,479.24 is: 2,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527 : 3,487.86 = 1,479.24 : x
  2. Step 2: Convert to fraction form
    2,527/3,487.86 = 1,479.24/x
  3. Step 3: Cross multiply
    2,527x = 3,487.86 × 1,479.24
  4. Step 4: Simplify right side
    2,527x = 5,159,382.03
  5. Step 5: Solve for x
    x = 5,159,382.03/2,527
  6. Step 6: Final answer
    x = 2,041.70

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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.