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Finding the Fourth Proportional to 7,728.30, 10,670.57 and 6,110.80

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Solution

The fourth proportional to 7,728.30, 10,670.57 and 6,110.80 is: 8,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.30 : 10,670.57 = 6,110.80 : x
  2. Step 2: Convert to fraction form
    7,728.30/10,670.57 = 6,110.80/x
  3. Step 3: Cross multiply
    7,728.30x = 10,670.57 × 6,110.80
  4. Step 4: Simplify right side
    7,728.30x = 65,205,719.16
  5. Step 5: Solve for x
    x = 65,205,719.16/7,728.30
  6. Step 6: Final answer
    x = 8,437.27

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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.