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Finding the Fourth Proportional to 7,894.98, 11,841.53 and 6,141.74

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Solution

The fourth proportional to 7,894.98, 11,841.53 and 6,141.74 is: 9,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.98 : 11,841.53 = 6,141.74 : x
  2. Step 2: Convert to fraction form
    7,894.98/11,841.53 = 6,141.74/x
  3. Step 3: Cross multiply
    7,894.98x = 11,841.53 × 6,141.74
  4. Step 4: Simplify right side
    7,894.98x = 72,727,508.55
  5. Step 5: Solve for x
    x = 72,727,508.55/7,894.98
  6. Step 6: Final answer
    x = 9,211.87

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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.