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Finding the Fourth Proportional to 9,378.50, 12,947.72 and 7,001.57

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Solution

The fourth proportional to 9,378.50, 12,947.72 and 7,001.57 is: 9,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.50 : 12,947.72 = 7,001.57 : x
  2. Step 2: Convert to fraction form
    9,378.50/12,947.72 = 7,001.57/x
  3. Step 3: Cross multiply
    9,378.50x = 12,947.72 × 7,001.57
  4. Step 4: Simplify right side
    9,378.50x = 90,654,268.17
  5. Step 5: Solve for x
    x = 90,654,268.17/9,378.50
  6. Step 6: Final answer
    x = 9,666.19

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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.