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Finding the Fourth Proportional to 9,770, 13,486.92 and 6,417.68

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Solution

The fourth proportional to 9,770, 13,486.92 and 6,417.68 is: 8,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770 : 13,486.92 = 6,417.68 : x
  2. Step 2: Convert to fraction form
    9,770/13,486.92 = 6,417.68/x
  3. Step 3: Cross multiply
    9,770x = 13,486.92 × 6,417.68
  4. Step 4: Simplify right side
    9,770x = 86,554,736.75
  5. Step 5: Solve for x
    x = 86,554,736.75/9,770
  6. Step 6: Final answer
    x = 8,859.24

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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.