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Finding the Fourth Proportional to 8,152.40, 12,233.40 and 2,957.60

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Solution

The fourth proportional to 8,152.40, 12,233.40 and 2,957.60 is: 4,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.40 : 12,233.40 = 2,957.60 : x
  2. Step 2: Convert to fraction form
    8,152.40/12,233.40 = 2,957.60/x
  3. Step 3: Cross multiply
    8,152.40x = 12,233.40 × 2,957.60
  4. Step 4: Simplify right side
    8,152.40x = 36,181,503.84
  5. Step 5: Solve for x
    x = 36,181,503.84/8,152.40
  6. Step 6: Final answer
    x = 4,438.14

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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.