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Finding the Fourth Proportional to 1,384.02, 1,908.90 and 941.76

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Solution

The fourth proportional to 1,384.02, 1,908.90 and 941.76 is: 1,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.02 : 1,908.90 = 941.76 : x
  2. Step 2: Convert to fraction form
    1,384.02/1,908.90 = 941.76/x
  3. Step 3: Cross multiply
    1,384.02x = 1,908.90 × 941.76
  4. Step 4: Simplify right side
    1,384.02x = 1,797,725.66
  5. Step 5: Solve for x
    x = 1,797,725.66/1,384.02
  6. Step 6: Final answer
    x = 1,298.92

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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.