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Finding the Fourth Proportional to 8,770.40, 13,149.12 and 4,148

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Solution

The fourth proportional to 8,770.40, 13,149.12 and 4,148 is: 6,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.40 : 13,149.12 = 4,148 : x
  2. Step 2: Convert to fraction form
    8,770.40/13,149.12 = 4,148/x
  3. Step 3: Cross multiply
    8,770.40x = 13,149.12 × 4,148
  4. Step 4: Simplify right side
    8,770.40x = 54,542,549.76
  5. Step 5: Solve for x
    x = 54,542,549.76/8,770.40
  6. Step 6: Final answer
    x = 6,218.94

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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.