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Finding the Fourth Proportional to 5,090.72, 7,025 and 2,994.80

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Solution

The fourth proportional to 5,090.72, 7,025 and 2,994.80 is: 4,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.72 : 7,025 = 2,994.80 : x
  2. Step 2: Convert to fraction form
    5,090.72/7,025 = 2,994.80/x
  3. Step 3: Cross multiply
    5,090.72x = 7,025 × 2,994.80
  4. Step 4: Simplify right side
    5,090.72x = 21,038,470
  5. Step 5: Solve for x
    x = 21,038,470/5,090.72
  6. Step 6: Final answer
    x = 4,132.71

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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.