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Finding the Fourth Proportional to 2,113.62, 2,916.81 and 1,274.28

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Solution

The fourth proportional to 2,113.62, 2,916.81 and 1,274.28 is: 1,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.62 : 2,916.81 = 1,274.28 : x
  2. Step 2: Convert to fraction form
    2,113.62/2,916.81 = 1,274.28/x
  3. Step 3: Cross multiply
    2,113.62x = 2,916.81 × 1,274.28
  4. Step 4: Simplify right side
    2,113.62x = 3,716,832.65
  5. Step 5: Solve for x
    x = 3,716,832.65/2,113.62
  6. Step 6: Final answer
    x = 1,758.52

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1.5x scale

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.