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Finding the Fourth Proportional to 5,369.91, 7,407.62 and 3,130.97

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Solution

The fourth proportional to 5,369.91, 7,407.62 and 3,130.97 is: 4,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.91 : 7,407.62 = 3,130.97 : x
  2. Step 2: Convert to fraction form
    5,369.91/7,407.62 = 3,130.97/x
  3. Step 3: Cross multiply
    5,369.91x = 7,407.62 × 3,130.97
  4. Step 4: Simplify right side
    5,369.91x = 23,193,035.99
  5. Step 5: Solve for x
    x = 23,193,035.99/5,369.91
  6. Step 6: Final answer
    x = 4,319.07

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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.