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Finding the Fourth Proportional to 3,419.01, 5,128.47 and 1,663.74

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Solution

The fourth proportional to 3,419.01, 5,128.47 and 1,663.74 is: 2,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.01 : 5,128.47 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    3,419.01/5,128.47 = 1,663.74/x
  3. Step 3: Cross multiply
    3,419.01x = 5,128.47 × 1,663.74
  4. Step 4: Simplify right side
    3,419.01x = 8,532,440.68
  5. Step 5: Solve for x
    x = 8,532,440.68/3,419.01
  6. Step 6: Final answer
    x = 2,495.59

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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.