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Finding the Fourth Proportional to 1,901.62, 2,620.28 and 1,777.42

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Solution

The fourth proportional to 1,901.62, 2,620.28 and 1,777.42 is: 2,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.62 : 2,620.28 = 1,777.42 : x
  2. Step 2: Convert to fraction form
    1,901.62/2,620.28 = 1,777.42/x
  3. Step 3: Cross multiply
    1,901.62x = 2,620.28 × 1,777.42
  4. Step 4: Simplify right side
    1,901.62x = 4,657,316.09
  5. Step 5: Solve for x
    x = 4,657,316.09/1,901.62
  6. Step 6: Final answer
    x = 2,449.14

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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.