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Finding the Fourth Proportional to 2,690.80, 4,033.64 and 1,534.32

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Solution

The fourth proportional to 2,690.80, 4,033.64 and 1,534.32 is: 2,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.80 : 4,033.64 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    2,690.80/4,033.64 = 1,534.32/x
  3. Step 3: Cross multiply
    2,690.80x = 4,033.64 × 1,534.32
  4. Step 4: Simplify right side
    2,690.80x = 6,188,894.52
  5. Step 5: Solve for x
    x = 6,188,894.52/2,690.80
  6. Step 6: Final answer
    x = 2,300.02

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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.