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Finding the Fourth Proportional to 8,323.84, 12,488.28 and 3,641.64

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Solution

The fourth proportional to 8,323.84, 12,488.28 and 3,641.64 is: 5,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.84 : 12,488.28 = 3,641.64 : x
  2. Step 2: Convert to fraction form
    8,323.84/12,488.28 = 3,641.64/x
  3. Step 3: Cross multiply
    8,323.84x = 12,488.28 × 3,641.64
  4. Step 4: Simplify right side
    8,323.84x = 45,477,819.98
  5. Step 5: Solve for x
    x = 45,477,819.98/8,323.84
  6. Step 6: Final answer
    x = 5,463.56

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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.