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Finding the Fourth Proportional to 9,356.80, 13,968.80 and 8,320

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Solution

The fourth proportional to 9,356.80, 13,968.80 and 8,320 is: 12,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.80 : 13,968.80 = 8,320 : x
  2. Step 2: Convert to fraction form
    9,356.80/13,968.80 = 8,320/x
  3. Step 3: Cross multiply
    9,356.80x = 13,968.80 × 8,320
  4. Step 4: Simplify right side
    9,356.80x = 116,220,416
  5. Step 5: Solve for x
    x = 116,220,416/9,356.80
  6. Step 6: Final answer
    x = 12,420.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.