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Finding the Fourth Proportional to 7,539, 10,406.16 and 5,055

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Solution

The fourth proportional to 7,539, 10,406.16 and 5,055 is: 6,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539 : 10,406.16 = 5,055 : x
  2. Step 2: Convert to fraction form
    7,539/10,406.16 = 5,055/x
  3. Step 3: Cross multiply
    7,539x = 10,406.16 × 5,055
  4. Step 4: Simplify right side
    7,539x = 52,603,138.80
  5. Step 5: Solve for x
    x = 52,603,138.80/7,539
  6. Step 6: Final answer
    x = 6,977.47

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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.