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Finding the Fourth Proportional to 5,137.16, 7,660.63 and 5,090.38

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Solution

The fourth proportional to 5,137.16, 7,660.63 and 5,090.38 is: 7,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.16 : 7,660.63 = 5,090.38 : x
  2. Step 2: Convert to fraction form
    5,137.16/7,660.63 = 5,090.38/x
  3. Step 3: Cross multiply
    5,137.16x = 7,660.63 × 5,090.38
  4. Step 4: Simplify right side
    5,137.16x = 38,995,476.32
  5. Step 5: Solve for x
    x = 38,995,476.32/5,137.16
  6. Step 6: Final answer
    x = 7,590.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.