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Finding the Fourth Proportional to 14,542.40, 21,829.80 and 7,981.40

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Solution

The fourth proportional to 14,542.40, 21,829.80 and 7,981.40 is: 11,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.40 : 21,829.80 = 7,981.40 : x
  2. Step 2: Convert to fraction form
    14,542.40/21,829.80 = 7,981.40/x
  3. Step 3: Cross multiply
    14,542.40x = 21,829.80 × 7,981.40
  4. Step 4: Simplify right side
    14,542.40x = 174,232,365.72
  5. Step 5: Solve for x
    x = 174,232,365.72/14,542.40
  6. Step 6: Final answer
    x = 11,980.99

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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.