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Finding the Fourth Proportional to 9,300.80, 13,929.60 and 6,363.20

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Solution

The fourth proportional to 9,300.80, 13,929.60 and 6,363.20 is: 9,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.80 : 13,929.60 = 6,363.20 : x
  2. Step 2: Convert to fraction form
    9,300.80/13,929.60 = 6,363.20/x
  3. Step 3: Cross multiply
    9,300.80x = 13,929.60 × 6,363.20
  4. Step 4: Simplify right side
    9,300.80x = 88,636,830.72
  5. Step 5: Solve for x
    x = 88,636,830.72/9,300.80
  6. Step 6: Final answer
    x = 9,530.02

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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.