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Finding the Fourth Proportional to 1,675.92, 2,312.81 and 930

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Solution

The fourth proportional to 1,675.92, 2,312.81 and 930 is: 1,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.92 : 2,312.81 = 930 : x
  2. Step 2: Convert to fraction form
    1,675.92/2,312.81 = 930/x
  3. Step 3: Cross multiply
    1,675.92x = 2,312.81 × 930
  4. Step 4: Simplify right side
    1,675.92x = 2,150,913.30
  5. Step 5: Solve for x
    x = 2,150,913.30/1,675.92
  6. Step 6: Final answer
    x = 1,283.42

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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.