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Finding the Fourth Proportional to 9,712.78, 13,398.38 and 8,024.20

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Solution

The fourth proportional to 9,712.78, 13,398.38 and 8,024.20 is: 11,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.78 : 13,398.38 = 8,024.20 : x
  2. Step 2: Convert to fraction form
    9,712.78/13,398.38 = 8,024.20/x
  3. Step 3: Cross multiply
    9,712.78x = 13,398.38 × 8,024.20
  4. Step 4: Simplify right side
    9,712.78x = 107,511,237.27
  5. Step 5: Solve for x
    x = 107,511,237.27/9,712.78
  6. Step 6: Final answer
    x = 11,069.05

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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.