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Finding the Fourth Proportional to 1,934.70, 2,903.12 and 1,057.17

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Solution

The fourth proportional to 1,934.70, 2,903.12 and 1,057.17 is: 1,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.70 : 2,903.12 = 1,057.17 : x
  2. Step 2: Convert to fraction form
    1,934.70/2,903.12 = 1,057.17/x
  3. Step 3: Cross multiply
    1,934.70x = 2,903.12 × 1,057.17
  4. Step 4: Simplify right side
    1,934.70x = 3,069,086.08
  5. Step 5: Solve for x
    x = 3,069,086.08/1,934.70
  6. Step 6: Final answer
    x = 1,586.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.