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Finding the Fourth Proportional to 5,152.50, 7,728.81 and 1,689.90

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Solution

The fourth proportional to 5,152.50, 7,728.81 and 1,689.90 is: 2,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.50 : 7,728.81 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    5,152.50/7,728.81 = 1,689.90/x
  3. Step 3: Cross multiply
    5,152.50x = 7,728.81 × 1,689.90
  4. Step 4: Simplify right side
    5,152.50x = 13,060,916.02
  5. Step 5: Solve for x
    x = 13,060,916.02/5,152.50
  6. Step 6: Final answer
    x = 2,534.87

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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.