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Finding the Fourth Proportional to 15,181.76, 20,952.60 and 8,894

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Solution

The fourth proportional to 15,181.76, 20,952.60 and 8,894 is: 12,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181.76 : 20,952.60 = 8,894 : x
  2. Step 2: Convert to fraction form
    15,181.76/20,952.60 = 8,894/x
  3. Step 3: Cross multiply
    15,181.76x = 20,952.60 × 8,894
  4. Step 4: Simplify right side
    15,181.76x = 186,352,424.40
  5. Step 5: Solve for x
    x = 186,352,424.40/15,181.76
  6. Step 6: Final answer
    x = 12,274.76

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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.