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Finding the Fourth Proportional to 10,077.42, 13,893.48 and 8,278.14

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Solution

The fourth proportional to 10,077.42, 13,893.48 and 8,278.14 is: 11,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.42 : 13,893.48 = 8,278.14 : x
  2. Step 2: Convert to fraction form
    10,077.42/13,893.48 = 8,278.14/x
  3. Step 3: Cross multiply
    10,077.42x = 13,893.48 × 8,278.14
  4. Step 4: Simplify right side
    10,077.42x = 115,012,172.53
  5. Step 5: Solve for x
    x = 115,012,172.53/10,077.42
  6. Step 6: Final answer
    x = 11,412.86

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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.