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Finding the Fourth Proportional to 8,419.68, 12,623.20 and 2,869.60

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Solution

The fourth proportional to 8,419.68, 12,623.20 and 2,869.60 is: 4,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.68 : 12,623.20 = 2,869.60 : x
  2. Step 2: Convert to fraction form
    8,419.68/12,623.20 = 2,869.60/x
  3. Step 3: Cross multiply
    8,419.68x = 12,623.20 × 2,869.60
  4. Step 4: Simplify right side
    8,419.68x = 36,223,534.72
  5. Step 5: Solve for x
    x = 36,223,534.72/8,419.68
  6. Step 6: Final answer
    x = 4,302.25

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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.