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Finding the Fourth Proportional to 10,058.70, 15,020.31 and 8,213.42

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Solution

The fourth proportional to 10,058.70, 15,020.31 and 8,213.42 is: 12,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.70 : 15,020.31 = 8,213.42 : x
  2. Step 2: Convert to fraction form
    10,058.70/15,020.31 = 8,213.42/x
  3. Step 3: Cross multiply
    10,058.70x = 15,020.31 × 8,213.42
  4. Step 4: Simplify right side
    10,058.70x = 123,368,039.46
  5. Step 5: Solve for x
    x = 123,368,039.46/10,058.70
  6. Step 6: Final answer
    x = 12,264.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.