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Finding the Fourth Proportional to 6,281.68, 8,668.38 and 3,487

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Solution

The fourth proportional to 6,281.68, 8,668.38 and 3,487 is: 4,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.68 : 8,668.38 = 3,487 : x
  2. Step 2: Convert to fraction form
    6,281.68/8,668.38 = 3,487/x
  3. Step 3: Cross multiply
    6,281.68x = 8,668.38 × 3,487
  4. Step 4: Simplify right side
    6,281.68x = 30,226,641.06
  5. Step 5: Solve for x
    x = 30,226,641.06/6,281.68
  6. Step 6: Final answer
    x = 4,811.87

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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.