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Finding the Fourth Proportional to 5,119.74, 7,670.97 and 3,731.13

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Solution

The fourth proportional to 5,119.74, 7,670.97 and 3,731.13 is: 5,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.74 : 7,670.97 = 3,731.13 : x
  2. Step 2: Convert to fraction form
    5,119.74/7,670.97 = 3,731.13/x
  3. Step 3: Cross multiply
    5,119.74x = 7,670.97 × 3,731.13
  4. Step 4: Simplify right side
    5,119.74x = 28,621,386.30
  5. Step 5: Solve for x
    x = 28,621,386.30/5,119.74
  6. Step 6: Final answer
    x = 5,590.40

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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.