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Finding the Fourth Proportional to 19,765.92, 29,648.88 and 5,726.74

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Solution

The fourth proportional to 19,765.92, 29,648.88 and 5,726.74 is: 8,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.92 : 29,648.88 = 5,726.74 : x
  2. Step 2: Convert to fraction form
    19,765.92/29,648.88 = 5,726.74/x
  3. Step 3: Cross multiply
    19,765.92x = 29,648.88 × 5,726.74
  4. Step 4: Simplify right side
    19,765.92x = 169,791,427.05
  5. Step 5: Solve for x
    x = 169,791,427.05/19,765.92
  6. Step 6: Final answer
    x = 8,590.11

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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.