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Finding the Fourth Proportional to 3,642.84, 5,462.64 and 1,045.14

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Solution

The fourth proportional to 3,642.84, 5,462.64 and 1,045.14 is: 1,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.84 : 5,462.64 = 1,045.14 : x
  2. Step 2: Convert to fraction form
    3,642.84/5,462.64 = 1,045.14/x
  3. Step 3: Cross multiply
    3,642.84x = 5,462.64 × 1,045.14
  4. Step 4: Simplify right side
    3,642.84x = 5,709,223.57
  5. Step 5: Solve for x
    x = 5,709,223.57/3,642.84
  6. Step 6: Final answer
    x = 1,567.25

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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.