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Finding the Fourth Proportional to 7,876.78, 10,869.65 and 4,291.77

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Solution

The fourth proportional to 7,876.78, 10,869.65 and 4,291.77 is: 5,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.78 : 10,869.65 = 4,291.77 : x
  2. Step 2: Convert to fraction form
    7,876.78/10,869.65 = 4,291.77/x
  3. Step 3: Cross multiply
    7,876.78x = 10,869.65 × 4,291.77
  4. Step 4: Simplify right side
    7,876.78x = 46,650,032.42
  5. Step 5: Solve for x
    x = 46,650,032.42/7,876.78
  6. Step 6: Final answer
    x = 5,922.47

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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.