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Finding the Fourth Proportional to 1,384.57, 1,908.87 and 1,147.63

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Solution

The fourth proportional to 1,384.57, 1,908.87 and 1,147.63 is: 1,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.57 : 1,908.87 = 1,147.63 : x
  2. Step 2: Convert to fraction form
    1,384.57/1,908.87 = 1,147.63/x
  3. Step 3: Cross multiply
    1,384.57x = 1,908.87 × 1,147.63
  4. Step 4: Simplify right side
    1,384.57x = 2,190,676.48
  5. Step 5: Solve for x
    x = 2,190,676.48/1,384.57
  6. Step 6: Final answer
    x = 1,582.21

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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.