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Finding the Fourth Proportional to 9,658.50, 13,331.35 and 7,908.90

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Solution

The fourth proportional to 9,658.50, 13,331.35 and 7,908.90 is: 10,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.50 : 13,331.35 = 7,908.90 : x
  2. Step 2: Convert to fraction form
    9,658.50/13,331.35 = 7,908.90/x
  3. Step 3: Cross multiply
    9,658.50x = 13,331.35 × 7,908.90
  4. Step 4: Simplify right side
    9,658.50x = 105,436,314.02
  5. Step 5: Solve for x
    x = 105,436,314.02/9,658.50
  6. Step 6: Final answer
    x = 10,916.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.