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Finding the Fourth Proportional to 4,090.71, 6,134.71 and 1,316.73

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Solution

The fourth proportional to 4,090.71, 6,134.71 and 1,316.73 is: 1,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.71 : 6,134.71 = 1,316.73 : x
  2. Step 2: Convert to fraction form
    4,090.71/6,134.71 = 1,316.73/x
  3. Step 3: Cross multiply
    4,090.71x = 6,134.71 × 1,316.73
  4. Step 4: Simplify right side
    4,090.71x = 8,077,756.70
  5. Step 5: Solve for x
    x = 8,077,756.70/4,090.71
  6. Step 6: Final answer
    x = 1,974.66

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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.