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Finding the Fourth Proportional to 13,678.78, 18,883 and 8,012.74

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Solution

The fourth proportional to 13,678.78, 18,883 and 8,012.74 is: 11,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.78 : 18,883 = 8,012.74 : x
  2. Step 2: Convert to fraction form
    13,678.78/18,883 = 8,012.74/x
  3. Step 3: Cross multiply
    13,678.78x = 18,883 × 8,012.74
  4. Step 4: Simplify right side
    13,678.78x = 151,304,569.42
  5. Step 5: Solve for x
    x = 151,304,569.42/13,678.78
  6. Step 6: Final answer
    x = 11,061.26

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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.