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Finding the Fourth Proportional to 3,430.71, 5,143.03 and 1,674.74

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Solution

The fourth proportional to 3,430.71, 5,143.03 and 1,674.74 is: 2,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.71 : 5,143.03 = 1,674.74 : x
  2. Step 2: Convert to fraction form
    3,430.71/5,143.03 = 1,674.74/x
  3. Step 3: Cross multiply
    3,430.71x = 5,143.03 × 1,674.74
  4. Step 4: Simplify right side
    3,430.71x = 8,613,246.73
  5. Step 5: Solve for x
    x = 8,613,246.73/3,430.71
  6. Step 6: Final answer
    x = 2,510.63

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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.