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Finding the Fourth Proportional to 13,536, 18,680.40 and 7,948.80

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Solution

The fourth proportional to 13,536, 18,680.40 and 7,948.80 is: 10,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 18,680.40 = 7,948.80 : x
  2. Step 2: Convert to fraction form
    13,536/18,680.40 = 7,948.80/x
  3. Step 3: Cross multiply
    13,536x = 18,680.40 × 7,948.80
  4. Step 4: Simplify right side
    13,536x = 148,486,763.52
  5. Step 5: Solve for x
    x = 148,486,763.52/13,536
  6. Step 6: Final answer
    x = 10,969.77

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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.