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Finding the Fourth Proportional to 14,320.74, 19,756.80 and 8,940

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Solution

The fourth proportional to 14,320.74, 19,756.80 and 8,940 is: 12,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.74 : 19,756.80 = 8,940 : x
  2. Step 2: Convert to fraction form
    14,320.74/19,756.80 = 8,940/x
  3. Step 3: Cross multiply
    14,320.74x = 19,756.80 × 8,940
  4. Step 4: Simplify right side
    14,320.74x = 176,625,792
  5. Step 5: Solve for x
    x = 176,625,792/14,320.74
  6. Step 6: Final answer
    x = 12,333.57

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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.