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Finding the Fourth Proportional to 5,750.78, 8,583.50 and 4,956.74

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Solution

The fourth proportional to 5,750.78, 8,583.50 and 4,956.74 is: 7,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.78 : 8,583.50 = 4,956.74 : x
  2. Step 2: Convert to fraction form
    5,750.78/8,583.50 = 4,956.74/x
  3. Step 3: Cross multiply
    5,750.78x = 8,583.50 × 4,956.74
  4. Step 4: Simplify right side
    5,750.78x = 42,546,168.72
  5. Step 5: Solve for x
    x = 42,546,168.72/5,750.78
  6. Step 6: Final answer
    x = 7,398.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.