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Finding the Fourth Proportional to 8,578.53, 11,834.19 and 5,395.77

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Solution

The fourth proportional to 8,578.53, 11,834.19 and 5,395.77 is: 7,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.53 : 11,834.19 = 5,395.77 : x
  2. Step 2: Convert to fraction form
    8,578.53/11,834.19 = 5,395.77/x
  3. Step 3: Cross multiply
    8,578.53x = 11,834.19 × 5,395.77
  4. Step 4: Simplify right side
    8,578.53x = 63,854,567.38
  5. Step 5: Solve for x
    x = 63,854,567.38/8,578.53
  6. Step 6: Final answer
    x = 7,443.53

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1.5x scale

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.