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Finding the Fourth Proportional to 9,883.65, 13,665.67 and 8,638.08

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Solution

The fourth proportional to 9,883.65, 13,665.67 and 8,638.08 is: 11,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.65 : 13,665.67 = 8,638.08 : x
  2. Step 2: Convert to fraction form
    9,883.65/13,665.67 = 8,638.08/x
  3. Step 3: Cross multiply
    9,883.65x = 13,665.67 × 8,638.08
  4. Step 4: Simplify right side
    9,883.65x = 118,045,196.26
  5. Step 5: Solve for x
    x = 118,045,196.26/9,883.65
  6. Step 6: Final answer
    x = 11,943.49

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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.