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Finding the Fourth Proportional to 6,385.98, 9,578.85 and 1,768.86

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Solution

The fourth proportional to 6,385.98, 9,578.85 and 1,768.86 is: 2,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.98 : 9,578.85 = 1,768.86 : x
  2. Step 2: Convert to fraction form
    6,385.98/9,578.85 = 1,768.86/x
  3. Step 3: Cross multiply
    6,385.98x = 9,578.85 × 1,768.86
  4. Step 4: Simplify right side
    6,385.98x = 16,943,644.61
  5. Step 5: Solve for x
    x = 16,943,644.61/6,385.98
  6. Step 6: Final answer
    x = 2,653.26

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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.