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Finding the Fourth Proportional to 6,687.87, 10,031.76 and 5,228.25

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Solution

The fourth proportional to 6,687.87, 10,031.76 and 5,228.25 is: 7,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.87 : 10,031.76 = 5,228.25 : x
  2. Step 2: Convert to fraction form
    6,687.87/10,031.76 = 5,228.25/x
  3. Step 3: Cross multiply
    6,687.87x = 10,031.76 × 5,228.25
  4. Step 4: Simplify right side
    6,687.87x = 52,448,549.22
  5. Step 5: Solve for x
    x = 52,448,549.22/6,687.87
  6. Step 6: Final answer
    x = 7,842.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.