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Finding the Fourth Proportional to 2,138.70, 2,955.15 and 1,749.90

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Solution

The fourth proportional to 2,138.70, 2,955.15 and 1,749.90 is: 2,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.70 : 2,955.15 = 1,749.90 : x
  2. Step 2: Convert to fraction form
    2,138.70/2,955.15 = 1,749.90/x
  3. Step 3: Cross multiply
    2,138.70x = 2,955.15 × 1,749.90
  4. Step 4: Simplify right side
    2,138.70x = 5,171,216.99
  5. Step 5: Solve for x
    x = 5,171,216.99/2,138.70
  6. Step 6: Final answer
    x = 2,417.93

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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.