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Finding the Fourth Proportional to 14,121.64, 19,487.87 and 7,834.02

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Solution

The fourth proportional to 14,121.64, 19,487.87 and 7,834.02 is: 10,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.64 : 19,487.87 = 7,834.02 : x
  2. Step 2: Convert to fraction form
    14,121.64/19,487.87 = 7,834.02/x
  3. Step 3: Cross multiply
    14,121.64x = 19,487.87 × 7,834.02
  4. Step 4: Simplify right side
    14,121.64x = 152,668,324.53
  5. Step 5: Solve for x
    x = 152,668,324.53/14,121.64
  6. Step 6: Final answer
    x = 10,810.95

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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.