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Finding the Fourth Proportional to 1,903.97, 2,856.51 and 930.62

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Solution

The fourth proportional to 1,903.97, 2,856.51 and 930.62 is: 1,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.97 : 2,856.51 = 930.62 : x
  2. Step 2: Convert to fraction form
    1,903.97/2,856.51 = 930.62/x
  3. Step 3: Cross multiply
    1,903.97x = 2,856.51 × 930.62
  4. Step 4: Simplify right side
    1,903.97x = 2,658,325.34
  5. Step 5: Solve for x
    x = 2,658,325.34/1,903.97
  6. Step 6: Final answer
    x = 1,396.20

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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.