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Finding the Fourth Proportional to 2,746.39, 4,120.38 and 898.03

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Solution

The fourth proportional to 2,746.39, 4,120.38 and 898.03 is: 1,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.39 : 4,120.38 = 898.03 : x
  2. Step 2: Convert to fraction form
    2,746.39/4,120.38 = 898.03/x
  3. Step 3: Cross multiply
    2,746.39x = 4,120.38 × 898.03
  4. Step 4: Simplify right side
    2,746.39x = 3,700,224.85
  5. Step 5: Solve for x
    x = 3,700,224.85/2,746.39
  6. Step 6: Final answer
    x = 1,347.30

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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.