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Finding the Fourth Proportional to 8,047.70, 12,071.55 and 2,782.70

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Solution

The fourth proportional to 8,047.70, 12,071.55 and 2,782.70 is: 4,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.70 : 12,071.55 = 2,782.70 : x
  2. Step 2: Convert to fraction form
    8,047.70/12,071.55 = 2,782.70/x
  3. Step 3: Cross multiply
    8,047.70x = 12,071.55 × 2,782.70
  4. Step 4: Simplify right side
    8,047.70x = 33,591,502.19
  5. Step 5: Solve for x
    x = 33,591,502.19/8,047.70
  6. Step 6: Final answer
    x = 4,174.05

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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.