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Finding the Fourth Proportional to 15,278.90, 22,918.34 and 8,705.48

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Solution

The fourth proportional to 15,278.90, 22,918.34 and 8,705.48 is: 13,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.90 : 22,918.34 = 8,705.48 : x
  2. Step 2: Convert to fraction form
    15,278.90/22,918.34 = 8,705.48/x
  3. Step 3: Cross multiply
    15,278.90x = 22,918.34 × 8,705.48
  4. Step 4: Simplify right side
    15,278.90x = 199,515,057.68
  5. Step 5: Solve for x
    x = 199,515,057.68/15,278.90
  6. Step 6: Final answer
    x = 13,058.21

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1.5x scale

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.