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Finding the Fourth Proportional to 9,881.99, 13,642.13 and 7,638.80

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Solution

The fourth proportional to 9,881.99, 13,642.13 and 7,638.80 is: 10,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.99 : 13,642.13 = 7,638.80 : x
  2. Step 2: Convert to fraction form
    9,881.99/13,642.13 = 7,638.80/x
  3. Step 3: Cross multiply
    9,881.99x = 13,642.13 × 7,638.80
  4. Step 4: Simplify right side
    9,881.99x = 104,209,464.45
  5. Step 5: Solve for x
    x = 104,209,464.45/9,881.99
  6. Step 6: Final answer
    x = 10,545.39

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Double scale
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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.