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Finding the Fourth Proportional to 21,431.49, 32,148.24 and 10,347.49

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Solution

The fourth proportional to 21,431.49, 32,148.24 and 10,347.49 is: 15,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.49 : 32,148.24 = 10,347.49 : x
  2. Step 2: Convert to fraction form
    21,431.49/32,148.24 = 10,347.49/x
  3. Step 3: Cross multiply
    21,431.49x = 32,148.24 × 10,347.49
  4. Step 4: Simplify right side
    21,431.49x = 332,653,591.92
  5. Step 5: Solve for x
    x = 332,653,591.92/21,431.49
  6. Step 6: Final answer
    x = 15,521.72

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1.5x scale

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.