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Finding the Fourth Proportional to 9,602.82, 14,381.01 and 7,947.18

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Solution

The fourth proportional to 9,602.82, 14,381.01 and 7,947.18 is: 11,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.82 : 14,381.01 = 7,947.18 : x
  2. Step 2: Convert to fraction form
    9,602.82/14,381.01 = 7,947.18/x
  3. Step 3: Cross multiply
    9,602.82x = 14,381.01 × 7,947.18
  4. Step 4: Simplify right side
    9,602.82x = 114,288,475.05
  5. Step 5: Solve for x
    x = 114,288,475.05/9,602.82
  6. Step 6: Final answer
    x = 11,901.55

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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.