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Finding the Fourth Proportional to 9,911.76, 13,661.64 and 7,915.92

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Solution

The fourth proportional to 9,911.76, 13,661.64 and 7,915.92 is: 10,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.76 : 13,661.64 = 7,915.92 : x
  2. Step 2: Convert to fraction form
    9,911.76/13,661.64 = 7,915.92/x
  3. Step 3: Cross multiply
    9,911.76x = 13,661.64 × 7,915.92
  4. Step 4: Simplify right side
    9,911.76x = 108,144,449.31
  5. Step 5: Solve for x
    x = 108,144,449.31/9,911.76
  6. Step 6: Final answer
    x = 10,910.72

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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.