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Finding the Fourth Proportional to 3,315.72, 4,972.12 and 1,561.22

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Solution

The fourth proportional to 3,315.72, 4,972.12 and 1,561.22 is: 2,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.72 : 4,972.12 = 1,561.22 : x
  2. Step 2: Convert to fraction form
    3,315.72/4,972.12 = 1,561.22/x
  3. Step 3: Cross multiply
    3,315.72x = 4,972.12 × 1,561.22
  4. Step 4: Simplify right side
    3,315.72x = 7,762,573.19
  5. Step 5: Solve for x
    x = 7,762,573.19/3,315.72
  6. Step 6: Final answer
    x = 2,341.14

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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.