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Finding the Fourth Proportional to 3,509.31, 5,259.87 and 1,948.57

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Solution

The fourth proportional to 3,509.31, 5,259.87 and 1,948.57 is: 2,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.31 : 5,259.87 = 1,948.57 : x
  2. Step 2: Convert to fraction form
    3,509.31/5,259.87 = 1,948.57/x
  3. Step 3: Cross multiply
    3,509.31x = 5,259.87 × 1,948.57
  4. Step 4: Simplify right side
    3,509.31x = 10,249,224.89
  5. Step 5: Solve for x
    x = 10,249,224.89/3,509.31
  6. Step 6: Final answer
    x = 2,920.58

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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.