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Finding the Fourth Proportional to 10,965.76, 15,130.32 and 6,489.76

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Solution

The fourth proportional to 10,965.76, 15,130.32 and 6,489.76 is: 8,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.76 : 15,130.32 = 6,489.76 : x
  2. Step 2: Convert to fraction form
    10,965.76/15,130.32 = 6,489.76/x
  3. Step 3: Cross multiply
    10,965.76x = 15,130.32 × 6,489.76
  4. Step 4: Simplify right side
    10,965.76x = 98,192,145.52
  5. Step 5: Solve for x
    x = 98,192,145.52/10,965.76
  6. Step 6: Final answer
    x = 8,954.43

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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.