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Finding the Fourth Proportional to 8,768, 12,100.20 and 5,042

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Solution

The fourth proportional to 8,768, 12,100.20 and 5,042 is: 6,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 12,100.20 = 5,042 : x
  2. Step 2: Convert to fraction form
    8,768/12,100.20 = 5,042/x
  3. Step 3: Cross multiply
    8,768x = 12,100.20 × 5,042
  4. Step 4: Simplify right side
    8,768x = 61,009,208.40
  5. Step 5: Solve for x
    x = 61,009,208.40/8,768
  6. Step 6: Final answer
    x = 6,958.17

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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.