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Finding the Fourth Proportional to 12,853, 17,739.57 and 7,264

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Solution

The fourth proportional to 12,853, 17,739.57 and 7,264 is: 10,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853 : 17,739.57 = 7,264 : x
  2. Step 2: Convert to fraction form
    12,853/17,739.57 = 7,264/x
  3. Step 3: Cross multiply
    12,853x = 17,739.57 × 7,264
  4. Step 4: Simplify right side
    12,853x = 128,860,236.48
  5. Step 5: Solve for x
    x = 128,860,236.48/12,853
  6. Step 6: Final answer
    x = 10,025.69

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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.