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Finding the Fourth Proportional to 9,302.78, 12,838.11 and 5,325.17

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Solution

The fourth proportional to 9,302.78, 12,838.11 and 5,325.17 is: 7,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.78 : 12,838.11 = 5,325.17 : x
  2. Step 2: Convert to fraction form
    9,302.78/12,838.11 = 5,325.17/x
  3. Step 3: Cross multiply
    9,302.78x = 12,838.11 × 5,325.17
  4. Step 4: Simplify right side
    9,302.78x = 68,365,118.23
  5. Step 5: Solve for x
    x = 68,365,118.23/9,302.78
  6. Step 6: Final answer
    x = 7,348.89

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1.5x scale

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.