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Finding the Fourth Proportional to 10,667.60, 16,006.20 and 4,821.20

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Solution

The fourth proportional to 10,667.60, 16,006.20 and 4,821.20 is: 7,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.60 : 16,006.20 = 4,821.20 : x
  2. Step 2: Convert to fraction form
    10,667.60/16,006.20 = 4,821.20/x
  3. Step 3: Cross multiply
    10,667.60x = 16,006.20 × 4,821.20
  4. Step 4: Simplify right side
    10,667.60x = 77,169,091.44
  5. Step 5: Solve for x
    x = 77,169,091.44/10,667.60
  6. Step 6: Final answer
    x = 7,233.97

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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.