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Finding the Fourth Proportional to 8,988.42, 13,462.98 and 7,410.68

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Solution

The fourth proportional to 8,988.42, 13,462.98 and 7,410.68 is: 11,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,988.42 : 13,462.98 = 7,410.68 : x
  2. Step 2: Convert to fraction form
    8,988.42/13,462.98 = 7,410.68/x
  3. Step 3: Cross multiply
    8,988.42x = 13,462.98 × 7,410.68
  4. Step 4: Simplify right side
    8,988.42x = 99,769,836.63
  5. Step 5: Solve for x
    x = 99,769,836.63/8,988.42
  6. Step 6: Final answer
    x = 11,099.82

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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.