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Finding the Fourth Proportional to 18,712, 25,813.24 and 13,058.61

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Solution

The fourth proportional to 18,712, 25,813.24 and 13,058.61 is: 18,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 25,813.24 = 13,058.61 : x
  2. Step 2: Convert to fraction form
    18,712/25,813.24 = 13,058.61/x
  3. Step 3: Cross multiply
    18,712x = 25,813.24 × 13,058.61
  4. Step 4: Simplify right side
    18,712x = 337,085,034.00
  5. Step 5: Solve for x
    x = 337,085,034.00/18,712
  6. Step 6: Final answer
    x = 18,014.38

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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.