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Finding the Fourth Proportional to 3,655.04, 5,482.68 and 1,315.22

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Solution

The fourth proportional to 3,655.04, 5,482.68 and 1,315.22 is: 1,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.04 : 5,482.68 = 1,315.22 : x
  2. Step 2: Convert to fraction form
    3,655.04/5,482.68 = 1,315.22/x
  3. Step 3: Cross multiply
    3,655.04x = 5,482.68 × 1,315.22
  4. Step 4: Simplify right side
    3,655.04x = 7,210,930.39
  5. Step 5: Solve for x
    x = 7,210,930.39/3,655.04
  6. Step 6: Final answer
    x = 1,972.87

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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.