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Finding the Fourth Proportional to 6,728.40, 9,285.12 and 3,703.68

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Solution

The fourth proportional to 6,728.40, 9,285.12 and 3,703.68 is: 5,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.40 : 9,285.12 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    6,728.40/9,285.12 = 3,703.68/x
  3. Step 3: Cross multiply
    6,728.40x = 9,285.12 × 3,703.68
  4. Step 4: Simplify right side
    6,728.40x = 34,389,113.24
  5. Step 5: Solve for x
    x = 34,389,113.24/6,728.40
  6. Step 6: Final answer
    x = 5,111.04

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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.