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Finding the Fourth Proportional to 2,138.81, 2,950.76 and 1,254.29

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Solution

The fourth proportional to 2,138.81, 2,950.76 and 1,254.29 is: 1,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.81 : 2,950.76 = 1,254.29 : x
  2. Step 2: Convert to fraction form
    2,138.81/2,950.76 = 1,254.29/x
  3. Step 3: Cross multiply
    2,138.81x = 2,950.76 × 1,254.29
  4. Step 4: Simplify right side
    2,138.81x = 3,701,097.14
  5. Step 5: Solve for x
    x = 3,701,097.14/2,138.81
  6. Step 6: Final answer
    x = 1,730.45

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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.