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Finding the Fourth Proportional to 12,657.44, 18,974.64 and 5,257.28

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Solution

The fourth proportional to 12,657.44, 18,974.64 and 5,257.28 is: 7,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.44 : 18,974.64 = 5,257.28 : x
  2. Step 2: Convert to fraction form
    12,657.44/18,974.64 = 5,257.28/x
  3. Step 3: Cross multiply
    12,657.44x = 18,974.64 × 5,257.28
  4. Step 4: Simplify right side
    12,657.44x = 99,754,995.38
  5. Step 5: Solve for x
    x = 99,754,995.38/12,657.44
  6. Step 6: Final answer
    x = 7,881.14

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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.