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Finding the Fourth Proportional to 1,885.75, 2,602.34 and 1,057.75

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Solution

The fourth proportional to 1,885.75, 2,602.34 and 1,057.75 is: 1,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.75 : 2,602.34 = 1,057.75 : x
  2. Step 2: Convert to fraction form
    1,885.75/2,602.34 = 1,057.75/x
  3. Step 3: Cross multiply
    1,885.75x = 2,602.34 × 1,057.75
  4. Step 4: Simplify right side
    1,885.75x = 2,752,625.14
  5. Step 5: Solve for x
    x = 2,752,625.14/1,885.75
  6. Step 6: Final answer
    x = 1,459.70

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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.