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Finding the Fourth Proportional to 5,726, 8,590.08 and 2,648

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Solution

The fourth proportional to 5,726, 8,590.08 and 2,648 is: 3,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 8,590.08 = 2,648 : x
  2. Step 2: Convert to fraction form
    5,726/8,590.08 = 2,648/x
  3. Step 3: Cross multiply
    5,726x = 8,590.08 × 2,648
  4. Step 4: Simplify right side
    5,726x = 22,746,531.84
  5. Step 5: Solve for x
    x = 22,746,531.84/5,726
  6. Step 6: Final answer
    x = 3,972.50

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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.