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Finding the Fourth Proportional to 1,774.56, 2,447.91 and 1,649.46

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Solution

The fourth proportional to 1,774.56, 2,447.91 and 1,649.46 is: 2,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.56 : 2,447.91 = 1,649.46 : x
  2. Step 2: Convert to fraction form
    1,774.56/2,447.91 = 1,649.46/x
  3. Step 3: Cross multiply
    1,774.56x = 2,447.91 × 1,649.46
  4. Step 4: Simplify right side
    1,774.56x = 4,037,729.63
  5. Step 5: Solve for x
    x = 4,037,729.63/1,774.56
  6. Step 6: Final answer
    x = 2,275.34

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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.