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Finding the Fourth Proportional to 10,969.14, 16,432.98 and 5,415.98

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Solution

The fourth proportional to 10,969.14, 16,432.98 and 5,415.98 is: 8,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.14 : 16,432.98 = 5,415.98 : x
  2. Step 2: Convert to fraction form
    10,969.14/16,432.98 = 5,415.98/x
  3. Step 3: Cross multiply
    10,969.14x = 16,432.98 × 5,415.98
  4. Step 4: Simplify right side
    10,969.14x = 89,000,691.02
  5. Step 5: Solve for x
    x = 89,000,691.02/10,969.14
  6. Step 6: Final answer
    x = 8,113.73

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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.