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Finding the Fourth Proportional to 6,281.76, 8,669.28 and 3,487.24

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Solution

The fourth proportional to 6,281.76, 8,669.28 and 3,487.24 is: 4,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.76 : 8,669.28 = 3,487.24 : x
  2. Step 2: Convert to fraction form
    6,281.76/8,669.28 = 3,487.24/x
  3. Step 3: Cross multiply
    6,281.76x = 8,669.28 × 3,487.24
  4. Step 4: Simplify right side
    6,281.76x = 30,231,859.99
  5. Step 5: Solve for x
    x = 30,231,859.99/6,281.76
  6. Step 6: Final answer
    x = 4,812.64

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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.