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Finding the Fourth Proportional to 12,737.60, 19,052.40 and 11,430.80

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Solution

The fourth proportional to 12,737.60, 19,052.40 and 11,430.80 is: 17,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.60 : 19,052.40 = 11,430.80 : x
  2. Step 2: Convert to fraction form
    12,737.60/19,052.40 = 11,430.80/x
  3. Step 3: Cross multiply
    12,737.60x = 19,052.40 × 11,430.80
  4. Step 4: Simplify right side
    12,737.60x = 217,784,173.92
  5. Step 5: Solve for x
    x = 217,784,173.92/12,737.60
  6. Step 6: Final answer
    x = 17,097.74

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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.