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Finding the Fourth Proportional to 7,430, 10,253.24 and 4,446.50

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Solution

The fourth proportional to 7,430, 10,253.24 and 4,446.50 is: 6,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 10,253.24 = 4,446.50 : x
  2. Step 2: Convert to fraction form
    7,430/10,253.24 = 4,446.50/x
  3. Step 3: Cross multiply
    7,430x = 10,253.24 × 4,446.50
  4. Step 4: Simplify right side
    7,430x = 45,591,031.66
  5. Step 5: Solve for x
    x = 45,591,031.66/7,430
  6. Step 6: Final answer
    x = 6,136.07

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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.