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Finding the Fourth Proportional to 10,077.93, 13,902.71 and 8,678.25

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Solution

The fourth proportional to 10,077.93, 13,902.71 and 8,678.25 is: 11,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.93 : 13,902.71 = 8,678.25 : x
  2. Step 2: Convert to fraction form
    10,077.93/13,902.71 = 8,678.25/x
  3. Step 3: Cross multiply
    10,077.93x = 13,902.71 × 8,678.25
  4. Step 4: Simplify right side
    10,077.93x = 120,651,149.67
  5. Step 5: Solve for x
    x = 120,651,149.67/10,077.93
  6. Step 6: Final answer
    x = 11,971.82

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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.