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Finding the Fourth Proportional to 8,802.98, 13,204.48 and 8,219.78

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Solution

The fourth proportional to 8,802.98, 13,204.48 and 8,219.78 is: 12,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.98 : 13,204.48 = 8,219.78 : x
  2. Step 2: Convert to fraction form
    8,802.98/13,204.48 = 8,219.78/x
  3. Step 3: Cross multiply
    8,802.98x = 13,204.48 × 8,219.78
  4. Step 4: Simplify right side
    8,802.98x = 108,537,920.61
  5. Step 5: Solve for x
    x = 108,537,920.61/8,802.98
  6. Step 6: Final answer
    x = 12,329.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.