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Finding the Fourth Proportional to 9,427, 13,007.82 and 5,235.16

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Solution

The fourth proportional to 9,427, 13,007.82 and 5,235.16 is: 7,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427 : 13,007.82 = 5,235.16 : x
  2. Step 2: Convert to fraction form
    9,427/13,007.82 = 5,235.16/x
  3. Step 3: Cross multiply
    9,427x = 13,007.82 × 5,235.16
  4. Step 4: Simplify right side
    9,427x = 68,098,018.95
  5. Step 5: Solve for x
    x = 68,098,018.95/9,427
  6. Step 6: Final answer
    x = 7,223.72

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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.