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Finding the Fourth Proportional to 10,077.78, 13,913.55 and 6,494.00

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Solution

The fourth proportional to 10,077.78, 13,913.55 and 6,494.00 is: 8,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.78 : 13,913.55 = 6,494.00 : x
  2. Step 2: Convert to fraction form
    10,077.78/13,913.55 = 6,494.00/x
  3. Step 3: Cross multiply
    10,077.78x = 13,913.55 × 6,494.00
  4. Step 4: Simplify right side
    10,077.78x = 90,354,575.15
  5. Step 5: Solve for x
    x = 90,354,575.15/10,077.78
  6. Step 6: Final answer
    x = 8,965.73

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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.