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Finding the Fourth Proportional to 2,655.22, 3,983.91 and 923.98

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Solution

The fourth proportional to 2,655.22, 3,983.91 and 923.98 is: 1,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.22 : 3,983.91 = 923.98 : x
  2. Step 2: Convert to fraction form
    2,655.22/3,983.91 = 923.98/x
  3. Step 3: Cross multiply
    2,655.22x = 3,983.91 × 923.98
  4. Step 4: Simplify right side
    2,655.22x = 3,681,053.16
  5. Step 5: Solve for x
    x = 3,681,053.16/2,655.22
  6. Step 6: Final answer
    x = 1,386.35

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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.