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Finding the Fourth Proportional to 18,486, 25,501.76 and 12,109.81

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Solution

The fourth proportional to 18,486, 25,501.76 and 12,109.81 is: 16,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 25,501.76 = 12,109.81 : x
  2. Step 2: Convert to fraction form
    18,486/25,501.76 = 12,109.81/x
  3. Step 3: Cross multiply
    18,486x = 25,501.76 × 12,109.81
  4. Step 4: Simplify right side
    18,486x = 308,821,468.27
  5. Step 5: Solve for x
    x = 308,821,468.27/18,486
  6. Step 6: Final answer
    x = 16,705.69

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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.