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Finding the Fourth Proportional to 14,957.88, 20,642.02 and 8,243.76

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Solution

The fourth proportional to 14,957.88, 20,642.02 and 8,243.76 is: 11,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.88 : 20,642.02 = 8,243.76 : x
  2. Step 2: Convert to fraction form
    14,957.88/20,642.02 = 8,243.76/x
  3. Step 3: Cross multiply
    14,957.88x = 20,642.02 × 8,243.76
  4. Step 4: Simplify right side
    14,957.88x = 170,167,858.80
  5. Step 5: Solve for x
    x = 170,167,858.80/14,957.88
  6. Step 6: Final answer
    x = 11,376.47

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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.