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Finding the Fourth Proportional to 2,963.07, 4,089.08 and 1,916.95

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Solution

The fourth proportional to 2,963.07, 4,089.08 and 1,916.95 is: 2,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.07 : 4,089.08 = 1,916.95 : x
  2. Step 2: Convert to fraction form
    2,963.07/4,089.08 = 1,916.95/x
  3. Step 3: Cross multiply
    2,963.07x = 4,089.08 × 1,916.95
  4. Step 4: Simplify right side
    2,963.07x = 7,838,561.91
  5. Step 5: Solve for x
    x = 7,838,561.91/2,963.07
  6. Step 6: Final answer
    x = 2,645.42

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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.