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Finding the Fourth Proportional to 9,398.16, 12,967.36 and 5,620.76

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Solution

The fourth proportional to 9,398.16, 12,967.36 and 5,620.76 is: 7,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.16 : 12,967.36 = 5,620.76 : x
  2. Step 2: Convert to fraction form
    9,398.16/12,967.36 = 5,620.76/x
  3. Step 3: Cross multiply
    9,398.16x = 12,967.36 × 5,620.76
  4. Step 4: Simplify right side
    9,398.16x = 72,886,418.39
  5. Step 5: Solve for x
    x = 72,886,418.39/9,398.16
  6. Step 6: Final answer
    x = 7,755.39

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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.