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Finding the Fourth Proportional to 6,472.77, 8,929.61 and 4,113.64

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Solution

The fourth proportional to 6,472.77, 8,929.61 and 4,113.64 is: 5,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.77 : 8,929.61 = 4,113.64 : x
  2. Step 2: Convert to fraction form
    6,472.77/8,929.61 = 4,113.64/x
  3. Step 3: Cross multiply
    6,472.77x = 8,929.61 × 4,113.64
  4. Step 4: Simplify right side
    6,472.77x = 36,733,180.31
  5. Step 5: Solve for x
    x = 36,733,180.31/6,472.77
  6. Step 6: Final answer
    x = 5,675.04

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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.