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Finding the Fourth Proportional to 6,471.84, 8,949.12 and 5,143.20

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Solution

The fourth proportional to 6,471.84, 8,949.12 and 5,143.20 is: 7,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.84 : 8,949.12 = 5,143.20 : x
  2. Step 2: Convert to fraction form
    6,471.84/8,949.12 = 5,143.20/x
  3. Step 3: Cross multiply
    6,471.84x = 8,949.12 × 5,143.20
  4. Step 4: Simplify right side
    6,471.84x = 46,027,113.98
  5. Step 5: Solve for x
    x = 46,027,113.98/6,471.84
  6. Step 6: Final answer
    x = 7,111.91

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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.