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Finding the Fourth Proportional to 10,471.95, 15,702.23 and 4,228.79

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Solution

The fourth proportional to 10,471.95, 15,702.23 and 4,228.79 is: 6,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.95 : 15,702.23 = 4,228.79 : x
  2. Step 2: Convert to fraction form
    10,471.95/15,702.23 = 4,228.79/x
  3. Step 3: Cross multiply
    10,471.95x = 15,702.23 × 4,228.79
  4. Step 4: Simplify right side
    10,471.95x = 66,401,365.26
  5. Step 5: Solve for x
    x = 66,401,365.26/10,471.95
  6. Step 6: Final answer
    x = 6,340.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.