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Finding the Fourth Proportional to 8,909.68, 12,295.40 and 5,134

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Solution

The fourth proportional to 8,909.68, 12,295.40 and 5,134 is: 7,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.68 : 12,295.40 = 5,134 : x
  2. Step 2: Convert to fraction form
    8,909.68/12,295.40 = 5,134/x
  3. Step 3: Cross multiply
    8,909.68x = 12,295.40 × 5,134
  4. Step 4: Simplify right side
    8,909.68x = 63,124,583.60
  5. Step 5: Solve for x
    x = 63,124,583.60/8,909.68
  6. Step 6: Final answer
    x = 7,084.94

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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.