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Finding the Fourth Proportional to 8,775.76, 12,106.88 and 5,750

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Solution

The fourth proportional to 8,775.76, 12,106.88 and 5,750 is: 7,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.76 : 12,106.88 = 5,750 : x
  2. Step 2: Convert to fraction form
    8,775.76/12,106.88 = 5,750/x
  3. Step 3: Cross multiply
    8,775.76x = 12,106.88 × 5,750
  4. Step 4: Simplify right side
    8,775.76x = 69,614,560
  5. Step 5: Solve for x
    x = 69,614,560/8,775.76
  6. Step 6: Final answer
    x = 7,932.60

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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.