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Finding the Fourth Proportional to 18,974.50, 28,461.75 and 5,123.50

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Solution

The fourth proportional to 18,974.50, 28,461.75 and 5,123.50 is: 7,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.50 : 28,461.75 = 5,123.50 : x
  2. Step 2: Convert to fraction form
    18,974.50/28,461.75 = 5,123.50/x
  3. Step 3: Cross multiply
    18,974.50x = 28,461.75 × 5,123.50
  4. Step 4: Simplify right side
    18,974.50x = 145,823,776.13
  5. Step 5: Solve for x
    x = 145,823,776.13/18,974.50
  6. Step 6: Final answer
    x = 7,685.25

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1.5x scale

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.