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Finding the Fourth Proportional to 15,193.80, 20,968.62 and 8,389.15

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Solution

The fourth proportional to 15,193.80, 20,968.62 and 8,389.15 is: 11,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.80 : 20,968.62 = 8,389.15 : x
  2. Step 2: Convert to fraction form
    15,193.80/20,968.62 = 8,389.15/x
  3. Step 3: Cross multiply
    15,193.80x = 20,968.62 × 8,389.15
  4. Step 4: Simplify right side
    15,193.80x = 175,908,898.47
  5. Step 5: Solve for x
    x = 175,908,898.47/15,193.80
  6. Step 6: Final answer
    x = 11,577.68

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1.5x scale

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.