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Finding the Fourth Proportional to 15,290, 22,938.44 and 5,429.26

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Solution

The fourth proportional to 15,290, 22,938.44 and 5,429.26 is: 8,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290 : 22,938.44 = 5,429.26 : x
  2. Step 2: Convert to fraction form
    15,290/22,938.44 = 5,429.26/x
  3. Step 3: Cross multiply
    15,290x = 22,938.44 × 5,429.26
  4. Step 4: Simplify right side
    15,290x = 124,538,754.75
  5. Step 5: Solve for x
    x = 124,538,754.75/15,290
  6. Step 6: Final answer
    x = 8,145.11

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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.