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Finding the Fourth Proportional to 10,972, 15,127.63 and 9,157.65

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Solution

The fourth proportional to 10,972, 15,127.63 and 9,157.65 is: 12,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 15,127.63 = 9,157.65 : x
  2. Step 2: Convert to fraction form
    10,972/15,127.63 = 9,157.65/x
  3. Step 3: Cross multiply
    10,972x = 15,127.63 × 9,157.65
  4. Step 4: Simplify right side
    10,972x = 138,533,540.87
  5. Step 5: Solve for x
    x = 138,533,540.87/10,972
  6. Step 6: Final answer
    x = 12,626.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.