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Finding the Fourth Proportional to 7,881.42, 10,876.26 and 5,873.82

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Solution

The fourth proportional to 7,881.42, 10,876.26 and 5,873.82 is: 8,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.42 : 10,876.26 = 5,873.82 : x
  2. Step 2: Convert to fraction form
    7,881.42/10,876.26 = 5,873.82/x
  3. Step 3: Cross multiply
    7,881.42x = 10,876.26 × 5,873.82
  4. Step 4: Simplify right side
    7,881.42x = 63,885,193.51
  5. Step 5: Solve for x
    x = 63,885,193.51/7,881.42
  6. Step 6: Final answer
    x = 8,105.80

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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.