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Finding the Fourth Proportional to 15,033.50, 22,555.72 and 7,138.43

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Solution

The fourth proportional to 15,033.50, 22,555.72 and 7,138.43 is: 10,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.50 : 22,555.72 = 7,138.43 : x
  2. Step 2: Convert to fraction form
    15,033.50/22,555.72 = 7,138.43/x
  3. Step 3: Cross multiply
    15,033.50x = 22,555.72 × 7,138.43
  4. Step 4: Simplify right side
    15,033.50x = 161,012,368.89
  5. Step 5: Solve for x
    x = 161,012,368.89/15,033.50
  6. Step 6: Final answer
    x = 10,710.24

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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.