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Finding the Fourth Proportional to 7,862.81, 11,764.78 and 4,688.65

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Solution

The fourth proportional to 7,862.81, 11,764.78 and 4,688.65 is: 7,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.81 : 11,764.78 = 4,688.65 : x
  2. Step 2: Convert to fraction form
    7,862.81/11,764.78 = 4,688.65/x
  3. Step 3: Cross multiply
    7,862.81x = 11,764.78 × 4,688.65
  4. Step 4: Simplify right side
    7,862.81x = 55,160,894.61
  5. Step 5: Solve for x
    x = 55,160,894.61/7,862.81
  6. Step 6: Final answer
    x = 7,015.42

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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.