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Finding the Fourth Proportional to 9,612, 13,252.55 and 8,020.94

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Solution

The fourth proportional to 9,612, 13,252.55 and 8,020.94 is: 11,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,252.55 = 8,020.94 : x
  2. Step 2: Convert to fraction form
    9,612/13,252.55 = 8,020.94/x
  3. Step 3: Cross multiply
    9,612x = 13,252.55 × 8,020.94
  4. Step 4: Simplify right side
    9,612x = 106,297,802.03
  5. Step 5: Solve for x
    x = 106,297,802.03/9,612
  6. Step 6: Final answer
    x = 11,058.86

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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.