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Finding the Fourth Proportional to 7,878.86, 10,876.42 and 5,611.66

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Solution

The fourth proportional to 7,878.86, 10,876.42 and 5,611.66 is: 7,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.86 : 10,876.42 = 5,611.66 : x
  2. Step 2: Convert to fraction form
    7,878.86/10,876.42 = 5,611.66/x
  3. Step 3: Cross multiply
    7,878.86x = 10,876.42 × 5,611.66
  4. Step 4: Simplify right side
    7,878.86x = 61,034,771.06
  5. Step 5: Solve for x
    x = 61,034,771.06/7,878.86
  6. Step 6: Final answer
    x = 7,746.65

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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.