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Finding the Fourth Proportional to 18,315, 27,470.58 and 12,429.66

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Solution

The fourth proportional to 18,315, 27,470.58 and 12,429.66 is: 18,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315 : 27,470.58 = 12,429.66 : x
  2. Step 2: Convert to fraction form
    18,315/27,470.58 = 12,429.66/x
  3. Step 3: Cross multiply
    18,315x = 27,470.58 × 12,429.66
  4. Step 4: Simplify right side
    18,315x = 341,449,969.40
  5. Step 5: Solve for x
    x = 341,449,969.40/18,315
  6. Step 6: Final answer
    x = 18,643.19

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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.