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Finding the Fourth Proportional to 3,154.76, 4,353.58 and 1,738.40

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Solution

The fourth proportional to 3,154.76, 4,353.58 and 1,738.40 is: 2,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.76 : 4,353.58 = 1,738.40 : x
  2. Step 2: Convert to fraction form
    3,154.76/4,353.58 = 1,738.40/x
  3. Step 3: Cross multiply
    3,154.76x = 4,353.58 × 1,738.40
  4. Step 4: Simplify right side
    3,154.76x = 7,568,263.47
  5. Step 5: Solve for x
    x = 7,568,263.47/3,154.76
  6. Step 6: Final answer
    x = 2,399.00

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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.