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Finding the Fourth Proportional to 15,874.34, 21,907.94 and 9,160.25

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Solution

The fourth proportional to 15,874.34, 21,907.94 and 9,160.25 is: 12,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.34 : 21,907.94 = 9,160.25 : x
  2. Step 2: Convert to fraction form
    15,874.34/21,907.94 = 9,160.25/x
  3. Step 3: Cross multiply
    15,874.34x = 21,907.94 × 9,160.25
  4. Step 4: Simplify right side
    15,874.34x = 200,682,052.04
  5. Step 5: Solve for x
    x = 200,682,052.04/15,874.34
  6. Step 6: Final answer
    x = 12,641.92

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1.5x scale

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.