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Finding the Fourth Proportional to 10,618, 15,943.44 and 5,697.24

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Solution

The fourth proportional to 10,618, 15,943.44 and 5,697.24 is: 8,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 15,943.44 = 5,697.24 : x
  2. Step 2: Convert to fraction form
    10,618/15,943.44 = 5,697.24/x
  3. Step 3: Cross multiply
    10,618x = 15,943.44 × 5,697.24
  4. Step 4: Simplify right side
    10,618x = 90,833,604.11
  5. Step 5: Solve for x
    x = 90,833,604.11/10,618
  6. Step 6: Final answer
    x = 8,554.68

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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.