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Finding the Fourth Proportional to 6,478.32, 8,943.08 and 4,123.68

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Solution

The fourth proportional to 6,478.32, 8,943.08 and 4,123.68 is: 5,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.32 : 8,943.08 = 4,123.68 : x
  2. Step 2: Convert to fraction form
    6,478.32/8,943.08 = 4,123.68/x
  3. Step 3: Cross multiply
    6,478.32x = 8,943.08 × 4,123.68
  4. Step 4: Simplify right side
    6,478.32x = 36,878,400.13
  5. Step 5: Solve for x
    x = 36,878,400.13/6,478.32
  6. Step 6: Final answer
    x = 5,692.59

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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.