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Finding the Fourth Proportional to 5,761, 8,648.76 and 4,900.78

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Solution

The fourth proportional to 5,761, 8,648.76 and 4,900.78 is: 7,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761 : 8,648.76 = 4,900.78 : x
  2. Step 2: Convert to fraction form
    5,761/8,648.76 = 4,900.78/x
  3. Step 3: Cross multiply
    5,761x = 8,648.76 × 4,900.78
  4. Step 4: Simplify right side
    5,761x = 42,385,670.03
  5. Step 5: Solve for x
    x = 42,385,670.03/5,761
  6. Step 6: Final answer
    x = 7,357.35

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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.