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Finding the Fourth Proportional to 7,456, 10,289.30 and 4,144

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Solution

The fourth proportional to 7,456, 10,289.30 and 4,144 is: 5,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456 : 10,289.30 = 4,144 : x
  2. Step 2: Convert to fraction form
    7,456/10,289.30 = 4,144/x
  3. Step 3: Cross multiply
    7,456x = 10,289.30 × 4,144
  4. Step 4: Simplify right side
    7,456x = 42,638,859.20
  5. Step 5: Solve for x
    x = 42,638,859.20/7,456
  6. Step 6: Final answer
    x = 5,718.73

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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.