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Finding the Fourth Proportional to 7,862.70, 10,850.71 and 4,277.86

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Solution

The fourth proportional to 7,862.70, 10,850.71 and 4,277.86 is: 5,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.70 : 10,850.71 = 4,277.86 : x
  2. Step 2: Convert to fraction form
    7,862.70/10,850.71 = 4,277.86/x
  3. Step 3: Cross multiply
    7,862.70x = 10,850.71 × 4,277.86
  4. Step 4: Simplify right side
    7,862.70x = 46,417,849.52
  5. Step 5: Solve for x
    x = 46,417,849.52/7,862.70
  6. Step 6: Final answer
    x = 5,903.55

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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.