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Finding the Fourth Proportional to 9,432, 12,995.40 and 7,031.76

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Solution

The fourth proportional to 9,432, 12,995.40 and 7,031.76 is: 9,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 12,995.40 = 7,031.76 : x
  2. Step 2: Convert to fraction form
    9,432/12,995.40 = 7,031.76/x
  3. Step 3: Cross multiply
    9,432x = 12,995.40 × 7,031.76
  4. Step 4: Simplify right side
    9,432x = 91,380,533.90
  5. Step 5: Solve for x
    x = 91,380,533.90/9,432
  6. Step 6: Final answer
    x = 9,688.35

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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.