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Finding the Fourth Proportional to 5,127, 7,075.26 and 2,919

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Solution

The fourth proportional to 5,127, 7,075.26 and 2,919 is: 4,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127 : 7,075.26 = 2,919 : x
  2. Step 2: Convert to fraction form
    5,127/7,075.26 = 2,919/x
  3. Step 3: Cross multiply
    5,127x = 7,075.26 × 2,919
  4. Step 4: Simplify right side
    5,127x = 20,652,683.94
  5. Step 5: Solve for x
    x = 20,652,683.94/5,127
  6. Step 6: Final answer
    x = 4,028.22

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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.