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Finding the Fourth Proportional to 28,133.76, 42,221.76 and 14,107.20

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Solution

The fourth proportional to 28,133.76, 42,221.76 and 14,107.20 is: 21,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,133.76 : 42,221.76 = 14,107.20 : x
  2. Step 2: Convert to fraction form
    28,133.76/42,221.76 = 14,107.20/x
  3. Step 3: Cross multiply
    28,133.76x = 42,221.76 × 14,107.20
  4. Step 4: Simplify right side
    28,133.76x = 595,630,812.67
  5. Step 5: Solve for x
    x = 595,630,812.67/28,133.76
  6. Step 6: Final answer
    x = 21,171.39

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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.