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Finding the Fourth Proportional to 5,130.81, 7,080 and 2,892.63

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Solution

The fourth proportional to 5,130.81, 7,080 and 2,892.63 is: 3,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.81 : 7,080 = 2,892.63 : x
  2. Step 2: Convert to fraction form
    5,130.81/7,080 = 2,892.63/x
  3. Step 3: Cross multiply
    5,130.81x = 7,080 × 2,892.63
  4. Step 4: Simplify right side
    5,130.81x = 20,479,820.40
  5. Step 5: Solve for x
    x = 20,479,820.40/5,130.81
  6. Step 6: Final answer
    x = 3,991.54

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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.