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Finding the Fourth Proportional to 7,131.54, 9,835.11 and 4,776.87

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Solution

The fourth proportional to 7,131.54, 9,835.11 and 4,776.87 is: 6,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.54 : 9,835.11 = 4,776.87 : x
  2. Step 2: Convert to fraction form
    7,131.54/9,835.11 = 4,776.87/x
  3. Step 3: Cross multiply
    7,131.54x = 9,835.11 × 4,776.87
  4. Step 4: Simplify right side
    7,131.54x = 46,981,041.91
  5. Step 5: Solve for x
    x = 46,981,041.91/7,131.54
  6. Step 6: Final answer
    x = 6,587.78

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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.