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Finding the Fourth Proportional to 7,281.78, 10,050 and 4,450.79

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Solution

The fourth proportional to 7,281.78, 10,050 and 4,450.79 is: 6,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.78 : 10,050 = 4,450.79 : x
  2. Step 2: Convert to fraction form
    7,281.78/10,050 = 4,450.79/x
  3. Step 3: Cross multiply
    7,281.78x = 10,050 × 4,450.79
  4. Step 4: Simplify right side
    7,281.78x = 44,730,389.25
  5. Step 5: Solve for x
    x = 44,730,389.25/7,281.78
  6. Step 6: Final answer
    x = 6,142.78

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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.