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Finding the Fourth Proportional to 9,900.92, 13,659.91 and 5,648.93

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Solution

The fourth proportional to 9,900.92, 13,659.91 and 5,648.93 is: 7,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.92 : 13,659.91 = 5,648.93 : x
  2. Step 2: Convert to fraction form
    9,900.92/13,659.91 = 5,648.93/x
  3. Step 3: Cross multiply
    9,900.92x = 13,659.91 × 5,648.93
  4. Step 4: Simplify right side
    9,900.92x = 77,163,861.27
  5. Step 5: Solve for x
    x = 77,163,861.27/9,900.92
  6. Step 6: Final answer
    x = 7,793.60

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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.