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Finding the Fourth Proportional to 11,158.95, 15,398.05 and 6,682.08

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Solution

The fourth proportional to 11,158.95, 15,398.05 and 6,682.08 is: 9,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.95 : 15,398.05 = 6,682.08 : x
  2. Step 2: Convert to fraction form
    11,158.95/15,398.05 = 6,682.08/x
  3. Step 3: Cross multiply
    11,158.95x = 15,398.05 × 6,682.08
  4. Step 4: Simplify right side
    11,158.95x = 102,891,001.94
  5. Step 5: Solve for x
    x = 102,891,001.94/11,158.95
  6. Step 6: Final answer
    x = 9,220.49

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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.