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Finding the Fourth Proportional to 18,330, 25,295.40 and 9,946.50

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Solution

The fourth proportional to 18,330, 25,295.40 and 9,946.50 is: 13,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,330 : 25,295.40 = 9,946.50 : x
  2. Step 2: Convert to fraction form
    18,330/25,295.40 = 9,946.50/x
  3. Step 3: Cross multiply
    18,330x = 25,295.40 × 9,946.50
  4. Step 4: Simplify right side
    18,330x = 251,600,696.10
  5. Step 5: Solve for x
    x = 251,600,696.10/18,330
  6. Step 6: Final answer
    x = 13,726.17

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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.