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Finding the Fourth Proportional to 2,981.88, 4,114.95 and 1,655.78

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Solution

The fourth proportional to 2,981.88, 4,114.95 and 1,655.78 is: 2,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.88 : 4,114.95 = 1,655.78 : x
  2. Step 2: Convert to fraction form
    2,981.88/4,114.95 = 1,655.78/x
  3. Step 3: Cross multiply
    2,981.88x = 4,114.95 × 1,655.78
  4. Step 4: Simplify right side
    2,981.88x = 6,813,431.34
  5. Step 5: Solve for x
    x = 6,813,431.34/2,981.88
  6. Step 6: Final answer
    x = 2,284.94

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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.