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Finding the Fourth Proportional to 9,921.30, 14,881.95 and 7,731.68

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Solution

The fourth proportional to 9,921.30, 14,881.95 and 7,731.68 is: 11,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.30 : 14,881.95 = 7,731.68 : x
  2. Step 2: Convert to fraction form
    9,921.30/14,881.95 = 7,731.68/x
  3. Step 3: Cross multiply
    9,921.30x = 14,881.95 × 7,731.68
  4. Step 4: Simplify right side
    9,921.30x = 115,062,400.77
  5. Step 5: Solve for x
    x = 115,062,400.77/9,921.30
  6. Step 6: Final answer
    x = 11,597.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.