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Finding the Fourth Proportional to 8,416, 12,630.84 and 7,191.28

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Solution

The fourth proportional to 8,416, 12,630.84 and 7,191.28 is: 10,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 12,630.84 = 7,191.28 : x
  2. Step 2: Convert to fraction form
    8,416/12,630.84 = 7,191.28/x
  3. Step 3: Cross multiply
    8,416x = 12,630.84 × 7,191.28
  4. Step 4: Simplify right side
    8,416x = 90,831,907.08
  5. Step 5: Solve for x
    x = 90,831,907.08/8,416
  6. Step 6: Final answer
    x = 10,792.76

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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.