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Finding the Fourth Proportional to 12,768, 17,620.43 and 7,102.79

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Solution

The fourth proportional to 12,768, 17,620.43 and 7,102.79 is: 9,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768 : 17,620.43 = 7,102.79 : x
  2. Step 2: Convert to fraction form
    12,768/17,620.43 = 7,102.79/x
  3. Step 3: Cross multiply
    12,768x = 17,620.43 × 7,102.79
  4. Step 4: Simplify right side
    12,768x = 125,154,214.00
  5. Step 5: Solve for x
    x = 125,154,214.00/12,768
  6. Step 6: Final answer
    x = 9,802.18

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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.