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Finding the Fourth Proportional to 10,471.78, 14,445.03 and 6,277.60

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Solution

The fourth proportional to 10,471.78, 14,445.03 and 6,277.60 is: 8,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.78 : 14,445.03 = 6,277.60 : x
  2. Step 2: Convert to fraction form
    10,471.78/14,445.03 = 6,277.60/x
  3. Step 3: Cross multiply
    10,471.78x = 14,445.03 × 6,277.60
  4. Step 4: Simplify right side
    10,471.78x = 90,680,120.33
  5. Step 5: Solve for x
    x = 90,680,120.33/10,471.78
  6. Step 6: Final answer
    x = 8,659.48

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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.