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Finding the Fourth Proportional to 9,718.82, 13,424.07 and 8,774.16

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Solution

The fourth proportional to 9,718.82, 13,424.07 and 8,774.16 is: 12,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.82 : 13,424.07 = 8,774.16 : x
  2. Step 2: Convert to fraction form
    9,718.82/13,424.07 = 8,774.16/x
  3. Step 3: Cross multiply
    9,718.82x = 13,424.07 × 8,774.16
  4. Step 4: Simplify right side
    9,718.82x = 117,784,938.03
  5. Step 5: Solve for x
    x = 117,784,938.03/9,718.82
  6. Step 6: Final answer
    x = 12,119.26

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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.