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Finding the Fourth Proportional to 7,700.16, 11,551.04 and 3,800.80

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Solution

The fourth proportional to 7,700.16, 11,551.04 and 3,800.80 is: 5,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.16 : 11,551.04 = 3,800.80 : x
  2. Step 2: Convert to fraction form
    7,700.16/11,551.04 = 3,800.80/x
  3. Step 3: Cross multiply
    7,700.16x = 11,551.04 × 3,800.80
  4. Step 4: Simplify right side
    7,700.16x = 43,903,192.83
  5. Step 5: Solve for x
    x = 43,903,192.83/7,700.16
  6. Step 6: Final answer
    x = 5,701.59

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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.