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Finding the Fourth Proportional to 7,821.07, 11,729.49 and 3,657.01

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Solution

The fourth proportional to 7,821.07, 11,729.49 and 3,657.01 is: 5,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.07 : 11,729.49 = 3,657.01 : x
  2. Step 2: Convert to fraction form
    7,821.07/11,729.49 = 3,657.01/x
  3. Step 3: Cross multiply
    7,821.07x = 11,729.49 × 3,657.01
  4. Step 4: Simplify right side
    7,821.07x = 42,894,862.22
  5. Step 5: Solve for x
    x = 42,894,862.22/7,821.07
  6. Step 6: Final answer
    x = 5,484.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.