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Finding the Fourth Proportional to 6,269.40, 8,652.42 and 4,278.42

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Solution

The fourth proportional to 6,269.40, 8,652.42 and 4,278.42 is: 5,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.40 : 8,652.42 = 4,278.42 : x
  2. Step 2: Convert to fraction form
    6,269.40/8,652.42 = 4,278.42/x
  3. Step 3: Cross multiply
    6,269.40x = 8,652.42 × 4,278.42
  4. Step 4: Simplify right side
    6,269.40x = 37,018,686.78
  5. Step 5: Solve for x
    x = 37,018,686.78/6,269.40
  6. Step 6: Final answer
    x = 5,904.66

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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.