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Finding the Fourth Proportional to 8,411.75, 12,608.06 and 5,117.58

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Solution

The fourth proportional to 8,411.75, 12,608.06 and 5,117.58 is: 7,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.75 : 12,608.06 = 5,117.58 : x
  2. Step 2: Convert to fraction form
    8,411.75/12,608.06 = 5,117.58/x
  3. Step 3: Cross multiply
    8,411.75x = 12,608.06 × 5,117.58
  4. Step 4: Simplify right side
    8,411.75x = 64,522,730.11
  5. Step 5: Solve for x
    x = 64,522,730.11/8,411.75
  6. Step 6: Final answer
    x = 7,670.55

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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.