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Finding the Fourth Proportional to 9,989.92, 13,778.94 and 7,627.96

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Solution

The fourth proportional to 9,989.92, 13,778.94 and 7,627.96 is: 10,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.92 : 13,778.94 = 7,627.96 : x
  2. Step 2: Convert to fraction form
    9,989.92/13,778.94 = 7,627.96/x
  3. Step 3: Cross multiply
    9,989.92x = 13,778.94 × 7,627.96
  4. Step 4: Simplify right side
    9,989.92x = 105,105,203.16
  5. Step 5: Solve for x
    x = 105,105,203.16/9,989.92
  6. Step 6: Final answer
    x = 10,521.13

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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.