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Finding the Fourth Proportional to 3,642.90, 5,465.70 and 3,507.90

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Solution

The fourth proportional to 3,642.90, 5,465.70 and 3,507.90 is: 5,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.90 : 5,465.70 = 3,507.90 : x
  2. Step 2: Convert to fraction form
    3,642.90/5,465.70 = 3,507.90/x
  3. Step 3: Cross multiply
    3,642.90x = 5,465.70 × 3,507.90
  4. Step 4: Simplify right side
    3,642.90x = 19,173,129.03
  5. Step 5: Solve for x
    x = 19,173,129.03/3,642.90
  6. Step 6: Final answer
    x = 5,263.15

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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.