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Finding the Fourth Proportional to 12,339.68, 18,512.24 and 5,762.25

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Solution

The fourth proportional to 12,339.68, 18,512.24 and 5,762.25 is: 8,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.68 : 18,512.24 = 5,762.25 : x
  2. Step 2: Convert to fraction form
    12,339.68/18,512.24 = 5,762.25/x
  3. Step 3: Cross multiply
    12,339.68x = 18,512.24 × 5,762.25
  4. Step 4: Simplify right side
    12,339.68x = 106,672,126.13
  5. Step 5: Solve for x
    x = 106,672,126.13/12,339.68
  6. Step 6: Final answer
    x = 8,644.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.