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Finding the Fourth Proportional to 2,551.88, 3,521.36 and 1,433

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Solution

The fourth proportional to 2,551.88, 3,521.36 and 1,433 is: 1,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.88 : 3,521.36 = 1,433 : x
  2. Step 2: Convert to fraction form
    2,551.88/3,521.36 = 1,433/x
  3. Step 3: Cross multiply
    2,551.88x = 3,521.36 × 1,433
  4. Step 4: Simplify right side
    2,551.88x = 5,046,108.88
  5. Step 5: Solve for x
    x = 5,046,108.88/2,551.88
  6. Step 6: Final answer
    x = 1,977.41

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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.