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Finding the Fourth Proportional to 19,901.76, 29,866.14 and 8,214.90

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Solution

The fourth proportional to 19,901.76, 29,866.14 and 8,214.90 is: 12,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.76 : 29,866.14 = 8,214.90 : x
  2. Step 2: Convert to fraction form
    19,901.76/29,866.14 = 8,214.90/x
  3. Step 3: Cross multiply
    19,901.76x = 29,866.14 × 8,214.90
  4. Step 4: Simplify right side
    19,901.76x = 245,347,353.49
  5. Step 5: Solve for x
    x = 245,347,353.49/19,901.76
  6. Step 6: Final answer
    x = 12,327.92

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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.