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Finding the Fourth Proportional to 15,182, 22,776.36 and 6,424.40

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Solution

The fourth proportional to 15,182, 22,776.36 and 6,424.40 is: 9,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 22,776.36 = 6,424.40 : x
  2. Step 2: Convert to fraction form
    15,182/22,776.36 = 6,424.40/x
  3. Step 3: Cross multiply
    15,182x = 22,776.36 × 6,424.40
  4. Step 4: Simplify right side
    15,182x = 146,324,447.18
  5. Step 5: Solve for x
    x = 146,324,447.18/15,182
  6. Step 6: Final answer
    x = 9,638.02

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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.