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Finding the Fourth Proportional to 13,737.60, 18,964.80 and 11,491.20

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Solution

The fourth proportional to 13,737.60, 18,964.80 and 11,491.20 is: 15,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.60 : 18,964.80 = 11,491.20 : x
  2. Step 2: Convert to fraction form
    13,737.60/18,964.80 = 11,491.20/x
  3. Step 3: Cross multiply
    13,737.60x = 18,964.80 × 11,491.20
  4. Step 4: Simplify right side
    13,737.60x = 217,928,309.76
  5. Step 5: Solve for x
    x = 217,928,309.76/13,737.60
  6. Step 6: Final answer
    x = 15,863.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.