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Finding the Fourth Proportional to 1,826.55, 2,739.15 and 901.80

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Solution

The fourth proportional to 1,826.55, 2,739.15 and 901.80 is: 1,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.55 : 2,739.15 = 901.80 : x
  2. Step 2: Convert to fraction form
    1,826.55/2,739.15 = 901.80/x
  3. Step 3: Cross multiply
    1,826.55x = 2,739.15 × 901.80
  4. Step 4: Simplify right side
    1,826.55x = 2,470,165.47
  5. Step 5: Solve for x
    x = 2,470,165.47/1,826.55
  6. Step 6: Final answer
    x = 1,352.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.