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Finding the Fourth Proportional to 3,539.68, 5,309.68 and 1,348

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Solution

The fourth proportional to 3,539.68, 5,309.68 and 1,348 is: 2,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.68 : 5,309.68 = 1,348 : x
  2. Step 2: Convert to fraction form
    3,539.68/5,309.68 = 1,348/x
  3. Step 3: Cross multiply
    3,539.68x = 5,309.68 × 1,348
  4. Step 4: Simplify right side
    3,539.68x = 7,157,448.64
  5. Step 5: Solve for x
    x = 7,157,448.64/3,539.68
  6. Step 6: Final answer
    x = 2,022.06

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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.