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Finding the Fourth Proportional to 9,304.96, 12,802.80 and 8,042

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Solution

The fourth proportional to 9,304.96, 12,802.80 and 8,042 is: 11,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.96 : 12,802.80 = 8,042 : x
  2. Step 2: Convert to fraction form
    9,304.96/12,802.80 = 8,042/x
  3. Step 3: Cross multiply
    9,304.96x = 12,802.80 × 8,042
  4. Step 4: Simplify right side
    9,304.96x = 102,960,117.60
  5. Step 5: Solve for x
    x = 102,960,117.60/9,304.96
  6. Step 6: Final answer
    x = 11,065.08

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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.