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Finding the Fourth Proportional to 9,047.68, 13,559.92 and 7,872.80

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Solution

The fourth proportional to 9,047.68, 13,559.92 and 7,872.80 is: 11,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.68 : 13,559.92 = 7,872.80 : x
  2. Step 2: Convert to fraction form
    9,047.68/13,559.92 = 7,872.80/x
  3. Step 3: Cross multiply
    9,047.68x = 13,559.92 × 7,872.80
  4. Step 4: Simplify right side
    9,047.68x = 106,754,538.18
  5. Step 5: Solve for x
    x = 106,754,538.18/9,047.68
  6. Step 6: Final answer
    x = 11,799.11

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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.