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Finding the Fourth Proportional to 14,226.56, 19,632.48 and 7,940

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Solution

The fourth proportional to 14,226.56, 19,632.48 and 7,940 is: 10,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.56 : 19,632.48 = 7,940 : x
  2. Step 2: Convert to fraction form
    14,226.56/19,632.48 = 7,940/x
  3. Step 3: Cross multiply
    14,226.56x = 19,632.48 × 7,940
  4. Step 4: Simplify right side
    14,226.56x = 155,881,891.20
  5. Step 5: Solve for x
    x = 155,881,891.20/14,226.56
  6. Step 6: Final answer
    x = 10,957.10

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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.