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Finding the Fourth Proportional to 5,728.84, 8,578.54 and 5,077.64

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Solution

The fourth proportional to 5,728.84, 8,578.54 and 5,077.64 is: 7,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.84 : 8,578.54 = 5,077.64 : x
  2. Step 2: Convert to fraction form
    5,728.84/8,578.54 = 5,077.64/x
  3. Step 3: Cross multiply
    5,728.84x = 8,578.54 × 5,077.64
  4. Step 4: Simplify right side
    5,728.84x = 43,558,737.85
  5. Step 5: Solve for x
    x = 43,558,737.85/5,728.84
  6. Step 6: Final answer
    x = 7,603.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.