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Finding the Fourth Proportional to 10,432.32, 15,676.64 and 9,768

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Solution

The fourth proportional to 10,432.32, 15,676.64 and 9,768 is: 14,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.32 : 15,676.64 = 9,768 : x
  2. Step 2: Convert to fraction form
    10,432.32/15,676.64 = 9,768/x
  3. Step 3: Cross multiply
    10,432.32x = 15,676.64 × 9,768
  4. Step 4: Simplify right side
    10,432.32x = 153,129,419.52
  5. Step 5: Solve for x
    x = 153,129,419.52/10,432.32
  6. Step 6: Final answer
    x = 14,678.37

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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.