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Finding the Fourth Proportional to 15,053.56, 20,774 and 8,339.04

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Solution

The fourth proportional to 15,053.56, 20,774 and 8,339.04 is: 11,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,053.56 : 20,774 = 8,339.04 : x
  2. Step 2: Convert to fraction form
    15,053.56/20,774 = 8,339.04/x
  3. Step 3: Cross multiply
    15,053.56x = 20,774 × 8,339.04
  4. Step 4: Simplify right side
    15,053.56x = 173,235,216.96
  5. Step 5: Solve for x
    x = 173,235,216.96/15,053.56
  6. Step 6: Final answer
    x = 11,507.92

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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.