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Finding the Fourth Proportional to 9,203.78, 12,702.36 and 5,226.17

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Solution

The fourth proportional to 9,203.78, 12,702.36 and 5,226.17 is: 7,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.78 : 12,702.36 = 5,226.17 : x
  2. Step 2: Convert to fraction form
    9,203.78/12,702.36 = 5,226.17/x
  3. Step 3: Cross multiply
    9,203.78x = 12,702.36 × 5,226.17
  4. Step 4: Simplify right side
    9,203.78x = 66,384,692.76
  5. Step 5: Solve for x
    x = 66,384,692.76/9,203.78
  6. Step 6: Final answer
    x = 7,212.76

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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.