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Finding the Fourth Proportional to 2,113.95, 2,916.67 and 1,274.48

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Solution

The fourth proportional to 2,113.95, 2,916.67 and 1,274.48 is: 1,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.95 : 2,916.67 = 1,274.48 : x
  2. Step 2: Convert to fraction form
    2,113.95/2,916.67 = 1,274.48/x
  3. Step 3: Cross multiply
    2,113.95x = 2,916.67 × 1,274.48
  4. Step 4: Simplify right side
    2,113.95x = 3,717,237.58
  5. Step 5: Solve for x
    x = 3,717,237.58/2,113.95
  6. Step 6: Final answer
    x = 1,758.43

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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.