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Finding the Fourth Proportional to 3,539, 5,306.70 and 1,316.28

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Solution

The fourth proportional to 3,539, 5,306.70 and 1,316.28 is: 1,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539 : 5,306.70 = 1,316.28 : x
  2. Step 2: Convert to fraction form
    3,539/5,306.70 = 1,316.28/x
  3. Step 3: Cross multiply
    3,539x = 5,306.70 × 1,316.28
  4. Step 4: Simplify right side
    3,539x = 6,985,103.08
  5. Step 5: Solve for x
    x = 6,985,103.08/3,539
  6. Step 6: Final answer
    x = 1,973.75

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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.