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Finding the Fourth Proportional to 8,970.86, 12,381.72 and 6,146.12

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Solution

The fourth proportional to 8,970.86, 12,381.72 and 6,146.12 is: 8,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.86 : 12,381.72 = 6,146.12 : x
  2. Step 2: Convert to fraction form
    8,970.86/12,381.72 = 6,146.12/x
  3. Step 3: Cross multiply
    8,970.86x = 12,381.72 × 6,146.12
  4. Step 4: Simplify right side
    8,970.86x = 76,099,536.93
  5. Step 5: Solve for x
    x = 76,099,536.93/8,970.86
  6. Step 6: Final answer
    x = 8,482.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.