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Finding the Fourth Proportional to 18,332, 27,485.66 and 8,465.84

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Solution

The fourth proportional to 18,332, 27,485.66 and 8,465.84 is: 12,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,332 : 27,485.66 = 8,465.84 : x
  2. Step 2: Convert to fraction form
    18,332/27,485.66 = 8,465.84/x
  3. Step 3: Cross multiply
    18,332x = 27,485.66 × 8,465.84
  4. Step 4: Simplify right side
    18,332x = 232,689,199.85
  5. Step 5: Solve for x
    x = 232,689,199.85/18,332
  6. Step 6: Final answer
    x = 12,693.06

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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.