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Finding the Fourth Proportional to 2,737.60, 4,106.40 and 2,478.40

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Solution

The fourth proportional to 2,737.60, 4,106.40 and 2,478.40 is: 3,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.60 : 4,106.40 = 2,478.40 : x
  2. Step 2: Convert to fraction form
    2,737.60/4,106.40 = 2,478.40/x
  3. Step 3: Cross multiply
    2,737.60x = 4,106.40 × 2,478.40
  4. Step 4: Simplify right side
    2,737.60x = 10,177,301.76
  5. Step 5: Solve for x
    x = 10,177,301.76/2,737.60
  6. Step 6: Final answer
    x = 3,717.60

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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.