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Finding the Fourth Proportional to 9,707, 14,560.64 and 2,781.50

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Solution

The fourth proportional to 9,707, 14,560.64 and 2,781.50 is: 4,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707 : 14,560.64 = 2,781.50 : x
  2. Step 2: Convert to fraction form
    9,707/14,560.64 = 2,781.50/x
  3. Step 3: Cross multiply
    9,707x = 14,560.64 × 2,781.50
  4. Step 4: Simplify right side
    9,707x = 40,500,406.25
  5. Step 5: Solve for x
    x = 40,500,406.25/9,707
  6. Step 6: Final answer
    x = 4,172.29

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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.