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Finding the Fourth Proportional to 7,456, 10,289.55 and 4,269.88

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Solution

The fourth proportional to 7,456, 10,289.55 and 4,269.88 is: 5,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456 : 10,289.55 = 4,269.88 : x
  2. Step 2: Convert to fraction form
    7,456/10,289.55 = 4,269.88/x
  3. Step 3: Cross multiply
    7,456x = 10,289.55 × 4,269.88
  4. Step 4: Simplify right side
    7,456x = 43,935,143.75
  5. Step 5: Solve for x
    x = 43,935,143.75/7,456
  6. Step 6: Final answer
    x = 5,892.59

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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.