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Finding the Fourth Proportional to 14,478.96, 19,981 and 7,854.96

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Solution

The fourth proportional to 14,478.96, 19,981 and 7,854.96 is: 10,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.96 : 19,981 = 7,854.96 : x
  2. Step 2: Convert to fraction form
    14,478.96/19,981 = 7,854.96/x
  3. Step 3: Cross multiply
    14,478.96x = 19,981 × 7,854.96
  4. Step 4: Simplify right side
    14,478.96x = 156,949,955.76
  5. Step 5: Solve for x
    x = 156,949,955.76/14,478.96
  6. Step 6: Final answer
    x = 10,839.86

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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.