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Finding the Fourth Proportional to 13,894.48, 20,851.80 and 8,045.20

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Solution

The fourth proportional to 13,894.48, 20,851.80 and 8,045.20 is: 12,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.48 : 20,851.80 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    13,894.48/20,851.80 = 8,045.20/x
  3. Step 3: Cross multiply
    13,894.48x = 20,851.80 × 8,045.20
  4. Step 4: Simplify right side
    13,894.48x = 167,756,901.36
  5. Step 5: Solve for x
    x = 167,756,901.36/13,894.48
  6. Step 6: Final answer
    x = 12,073.64

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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.