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Finding the Fourth Proportional to 9,707.50, 14,539.32 and 7,957.90

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Solution

The fourth proportional to 9,707.50, 14,539.32 and 7,957.90 is: 11,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.50 : 14,539.32 = 7,957.90 : x
  2. Step 2: Convert to fraction form
    9,707.50/14,539.32 = 7,957.90/x
  3. Step 3: Cross multiply
    9,707.50x = 14,539.32 × 7,957.90
  4. Step 4: Simplify right side
    9,707.50x = 115,702,454.63
  5. Step 5: Solve for x
    x = 115,702,454.63/9,707.50
  6. Step 6: Final answer
    x = 11,918.87

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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.