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Finding the Fourth Proportional to 4,827.71, 7,240.02 and 2,487.40

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Solution

The fourth proportional to 4,827.71, 7,240.02 and 2,487.40 is: 3,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.71 : 7,240.02 = 2,487.40 : x
  2. Step 2: Convert to fraction form
    4,827.71/7,240.02 = 2,487.40/x
  3. Step 3: Cross multiply
    4,827.71x = 7,240.02 × 2,487.40
  4. Step 4: Simplify right side
    4,827.71x = 18,008,839.05
  5. Step 5: Solve for x
    x = 18,008,839.05/4,827.71
  6. Step 6: Final answer
    x = 3,730.31

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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.