Home / 2,391-3,584.52-1,157.28

Finding the Fourth Proportional to 2,391, 3,584.52 and 1,157.28

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Solution

The fourth proportional to 2,391, 3,584.52 and 1,157.28 is: 1,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391 : 3,584.52 = 1,157.28 : x
  2. Step 2: Convert to fraction form
    2,391/3,584.52 = 1,157.28/x
  3. Step 3: Cross multiply
    2,391x = 3,584.52 × 1,157.28
  4. Step 4: Simplify right side
    2,391x = 4,148,293.31
  5. Step 5: Solve for x
    x = 4,148,293.31/2,391
  6. Step 6: Final answer
    x = 1,734.96

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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.