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Finding the Fourth Proportional to 5,675.76, 8,512.80 and 1,977.66

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Solution

The fourth proportional to 5,675.76, 8,512.80 and 1,977.66 is: 2,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.76 : 8,512.80 = 1,977.66 : x
  2. Step 2: Convert to fraction form
    5,675.76/8,512.80 = 1,977.66/x
  3. Step 3: Cross multiply
    5,675.76x = 8,512.80 × 1,977.66
  4. Step 4: Simplify right side
    5,675.76x = 16,835,424.05
  5. Step 5: Solve for x
    x = 16,835,424.05/5,675.76
  6. Step 6: Final answer
    x = 2,966.20

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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.