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Finding the Fourth Proportional to 2,963.55, 4,089.78 and 1,785

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Solution

The fourth proportional to 2,963.55, 4,089.78 and 1,785 is: 2,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.55 : 4,089.78 = 1,785 : x
  2. Step 2: Convert to fraction form
    2,963.55/4,089.78 = 1,785/x
  3. Step 3: Cross multiply
    2,963.55x = 4,089.78 × 1,785
  4. Step 4: Simplify right side
    2,963.55x = 7,300,257.30
  5. Step 5: Solve for x
    x = 7,300,257.30/2,963.55
  6. Step 6: Final answer
    x = 2,463.35

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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.