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Finding the Fourth Proportional to 9,337.82, 13,987.59 and 7,478.87

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Solution

The fourth proportional to 9,337.82, 13,987.59 and 7,478.87 is: 11,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.82 : 13,987.59 = 7,478.87 : x
  2. Step 2: Convert to fraction form
    9,337.82/13,987.59 = 7,478.87/x
  3. Step 3: Cross multiply
    9,337.82x = 13,987.59 × 7,478.87
  4. Step 4: Simplify right side
    9,337.82x = 104,611,269.24
  5. Step 5: Solve for x
    x = 104,611,269.24/9,337.82
  6. Step 6: Final answer
    x = 11,202.97

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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.