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Finding the Fourth Proportional to 9,821.99, 13,465.97 and 9,644.30

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Solution

The fourth proportional to 9,821.99, 13,465.97 and 9,644.30 is: 13,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.99 : 13,465.97 = 9,644.30 : x
  2. Step 2: Convert to fraction form
    9,821.99/13,465.97 = 9,644.30/x
  3. Step 3: Cross multiply
    9,821.99x = 13,465.97 × 9,644.30
  4. Step 4: Simplify right side
    9,821.99x = 129,869,806.25
  5. Step 5: Solve for x
    x = 129,869,806.25/9,821.99
  6. Step 6: Final answer
    x = 13,222.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.