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Finding the Fourth Proportional to 8,802.18, 12,142.38 and 7,125.48

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Solution

The fourth proportional to 8,802.18, 12,142.38 and 7,125.48 is: 9,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.18 : 12,142.38 = 7,125.48 : x
  2. Step 2: Convert to fraction form
    8,802.18/12,142.38 = 7,125.48/x
  3. Step 3: Cross multiply
    8,802.18x = 12,142.38 × 7,125.48
  4. Step 4: Simplify right side
    8,802.18x = 86,520,285.84
  5. Step 5: Solve for x
    x = 86,520,285.84/8,802.18
  6. Step 6: Final answer
    x = 9,829.42

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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.