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Finding the Fourth Proportional to 7,854.08, 11,782.08 and 2,658.56

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Solution

The fourth proportional to 7,854.08, 11,782.08 and 2,658.56 is: 3,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.08 : 11,782.08 = 2,658.56 : x
  2. Step 2: Convert to fraction form
    7,854.08/11,782.08 = 2,658.56/x
  3. Step 3: Cross multiply
    7,854.08x = 11,782.08 × 2,658.56
  4. Step 4: Simplify right side
    7,854.08x = 31,323,366.60
  5. Step 5: Solve for x
    x = 31,323,366.60/7,854.08
  6. Step 6: Final answer
    x = 3,988.16

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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.