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Finding the Fourth Proportional to 9,302.78, 12,823.04 and 7,309.90

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Solution

The fourth proportional to 9,302.78, 12,823.04 and 7,309.90 is: 10,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.78 : 12,823.04 = 7,309.90 : x
  2. Step 2: Convert to fraction form
    9,302.78/12,823.04 = 7,309.90/x
  3. Step 3: Cross multiply
    9,302.78x = 12,823.04 × 7,309.90
  4. Step 4: Simplify right side
    9,302.78x = 93,735,140.10
  5. Step 5: Solve for x
    x = 93,735,140.10/9,302.78
  6. Step 6: Final answer
    x = 10,076.04

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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.