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Finding the Fourth Proportional to 2,089.47, 2,883.28 and 1,205.34

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Solution

The fourth proportional to 2,089.47, 2,883.28 and 1,205.34 is: 1,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.47 : 2,883.28 = 1,205.34 : x
  2. Step 2: Convert to fraction form
    2,089.47/2,883.28 = 1,205.34/x
  3. Step 3: Cross multiply
    2,089.47x = 2,883.28 × 1,205.34
  4. Step 4: Simplify right side
    2,089.47x = 3,475,332.72
  5. Step 5: Solve for x
    x = 3,475,332.72/2,089.47
  6. Step 6: Final answer
    x = 1,663.26

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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.