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Finding the Fourth Proportional to 19,533, 29,290.32 and 8,432.76

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Solution

The fourth proportional to 19,533, 29,290.32 and 8,432.76 is: 12,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533 : 29,290.32 = 8,432.76 : x
  2. Step 2: Convert to fraction form
    19,533/29,290.32 = 8,432.76/x
  3. Step 3: Cross multiply
    19,533x = 29,290.32 × 8,432.76
  4. Step 4: Simplify right side
    19,533x = 246,998,238.88
  5. Step 5: Solve for x
    x = 246,998,238.88/19,533
  6. Step 6: Final answer
    x = 12,645.18

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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.