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Finding the Fourth Proportional to 8,411.53, 12,616.08 and 2,865.10

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Solution

The fourth proportional to 8,411.53, 12,616.08 and 2,865.10 is: 4,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.53 : 12,616.08 = 2,865.10 : x
  2. Step 2: Convert to fraction form
    8,411.53/12,616.08 = 2,865.10/x
  3. Step 3: Cross multiply
    8,411.53x = 12,616.08 × 2,865.10
  4. Step 4: Simplify right side
    8,411.53x = 36,146,330.81
  5. Step 5: Solve for x
    x = 36,146,330.81/8,411.53
  6. Step 6: Final answer
    x = 4,297.24

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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.