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Finding the Fourth Proportional to 6,845.76, 9,385.50 and 6,721.20

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Solution

The fourth proportional to 6,845.76, 9,385.50 and 6,721.20 is: 9,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.76 : 9,385.50 = 6,721.20 : x
  2. Step 2: Convert to fraction form
    6,845.76/9,385.50 = 6,721.20/x
  3. Step 3: Cross multiply
    6,845.76x = 9,385.50 × 6,721.20
  4. Step 4: Simplify right side
    6,845.76x = 63,081,822.60
  5. Step 5: Solve for x
    x = 63,081,822.60/6,845.76
  6. Step 6: Final answer
    x = 9,214.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.