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Finding the Fourth Proportional to 5,000.57, 7,501.91 and 1,712.78

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Solution

The fourth proportional to 5,000.57, 7,501.91 and 1,712.78 is: 2,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.57 : 7,501.91 = 1,712.78 : x
  2. Step 2: Convert to fraction form
    5,000.57/7,501.91 = 1,712.78/x
  3. Step 3: Cross multiply
    5,000.57x = 7,501.91 × 1,712.78
  4. Step 4: Simplify right side
    5,000.57x = 12,849,121.41
  5. Step 5: Solve for x
    x = 12,849,121.41/5,000.57
  6. Step 6: Final answer
    x = 2,569.53

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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.