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Finding the Fourth Proportional to 9,909.70, 13,652.40 and 6,920.80

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Solution

The fourth proportional to 9,909.70, 13,652.40 and 6,920.80 is: 9,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.70 : 13,652.40 = 6,920.80 : x
  2. Step 2: Convert to fraction form
    9,909.70/13,652.40 = 6,920.80/x
  3. Step 3: Cross multiply
    9,909.70x = 13,652.40 × 6,920.80
  4. Step 4: Simplify right side
    9,909.70x = 94,485,529.92
  5. Step 5: Solve for x
    x = 94,485,529.92/9,909.70
  6. Step 6: Final answer
    x = 9,534.65

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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.