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Finding the Fourth Proportional to 5,265.57, 7,266.51 and 2,907.78

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Solution

The fourth proportional to 5,265.57, 7,266.51 and 2,907.78 is: 4,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.57 : 7,266.51 = 2,907.78 : x
  2. Step 2: Convert to fraction form
    5,265.57/7,266.51 = 2,907.78/x
  3. Step 3: Cross multiply
    5,265.57x = 7,266.51 × 2,907.78
  4. Step 4: Simplify right side
    5,265.57x = 21,129,412.45
  5. Step 5: Solve for x
    x = 21,129,412.45/5,265.57
  6. Step 6: Final answer
    x = 4,012.75

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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.