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Finding the Fourth Proportional to 7,642.01, 11,457.14 and 3,691.23

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Solution

The fourth proportional to 7,642.01, 11,457.14 and 3,691.23 is: 5,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.01 : 11,457.14 = 3,691.23 : x
  2. Step 2: Convert to fraction form
    7,642.01/11,457.14 = 3,691.23/x
  3. Step 3: Cross multiply
    7,642.01x = 11,457.14 × 3,691.23
  4. Step 4: Simplify right side
    7,642.01x = 42,290,920.43
  5. Step 5: Solve for x
    x = 42,290,920.43/7,642.01
  6. Step 6: Final answer
    x = 5,534.01

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