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Finding the Fourth Proportional to 2,690.16, 3,713.04 and 1,642.80

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Solution

The fourth proportional to 2,690.16, 3,713.04 and 1,642.80 is: 2,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.16 : 3,713.04 = 1,642.80 : x
  2. Step 2: Convert to fraction form
    2,690.16/3,713.04 = 1,642.80/x
  3. Step 3: Cross multiply
    2,690.16x = 3,713.04 × 1,642.80
  4. Step 4: Simplify right side
    2,690.16x = 6,099,782.11
  5. Step 5: Solve for x
    x = 6,099,782.11/2,690.16
  6. Step 6: Final answer
    x = 2,267.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.