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Finding the Fourth Proportional to 3,491.60, 5,239.10 and 1,642.90

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Solution

The fourth proportional to 3,491.60, 5,239.10 and 1,642.90 is: 2,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.60 : 5,239.10 = 1,642.90 : x
  2. Step 2: Convert to fraction form
    3,491.60/5,239.10 = 1,642.90/x
  3. Step 3: Cross multiply
    3,491.60x = 5,239.10 × 1,642.90
  4. Step 4: Simplify right side
    3,491.60x = 8,607,317.39
  5. Step 5: Solve for x
    x = 8,607,317.39/3,491.60
  6. Step 6: Final answer
    x = 2,465.15

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1.5x scale

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.