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Finding the Fourth Proportional to 9,342.80, 12,898.32 and 6,203.28

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Solution

The fourth proportional to 9,342.80, 12,898.32 and 6,203.28 is: 8,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.80 : 12,898.32 = 6,203.28 : x
  2. Step 2: Convert to fraction form
    9,342.80/12,898.32 = 6,203.28/x
  3. Step 3: Cross multiply
    9,342.80x = 12,898.32 × 6,203.28
  4. Step 4: Simplify right side
    9,342.80x = 80,011,890.49
  5. Step 5: Solve for x
    x = 80,011,890.49/9,342.80
  6. Step 6: Final answer
    x = 8,564.02

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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.