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Finding the Fourth Proportional to 8,414.16, 12,670.06 and 6,238.32

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Solution

The fourth proportional to 8,414.16, 12,670.06 and 6,238.32 is: 9,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.16 : 12,670.06 = 6,238.32 : x
  2. Step 2: Convert to fraction form
    8,414.16/12,670.06 = 6,238.32/x
  3. Step 3: Cross multiply
    8,414.16x = 12,670.06 × 6,238.32
  4. Step 4: Simplify right side
    8,414.16x = 79,039,888.70
  5. Step 5: Solve for x
    x = 79,039,888.70/8,414.16
  6. Step 6: Final answer
    x = 9,393.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.