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Finding the Fourth Proportional to 1,770.71, 2,643.10 and 1,642.21

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Solution

The fourth proportional to 1,770.71, 2,643.10 and 1,642.21 is: 2,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.71 : 2,643.10 = 1,642.21 : x
  2. Step 2: Convert to fraction form
    1,770.71/2,643.10 = 1,642.21/x
  3. Step 3: Cross multiply
    1,770.71x = 2,643.10 × 1,642.21
  4. Step 4: Simplify right side
    1,770.71x = 4,340,525.25
  5. Step 5: Solve for x
    x = 4,340,525.25/1,770.71
  6. Step 6: Final answer
    x = 2,451.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.