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Finding the Fourth Proportional to 3,539.24, 5,308.84 and 906.74

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Solution

The fourth proportional to 3,539.24, 5,308.84 and 906.74 is: 1,360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.24 : 5,308.84 = 906.74 : x
  2. Step 2: Convert to fraction form
    3,539.24/5,308.84 = 906.74/x
  3. Step 3: Cross multiply
    3,539.24x = 5,308.84 × 906.74
  4. Step 4: Simplify right side
    3,539.24x = 4,813,737.58
  5. Step 5: Solve for x
    x = 4,813,737.58/3,539.24
  6. Step 6: Final answer
    x = 1,360.10

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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.