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Finding the Fourth Proportional to 11,800.20, 17,700.30 and 7,883.40

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Solution

The fourth proportional to 11,800.20, 17,700.30 and 7,883.40 is: 11,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.20 : 17,700.30 = 7,883.40 : x
  2. Step 2: Convert to fraction form
    11,800.20/17,700.30 = 7,883.40/x
  3. Step 3: Cross multiply
    11,800.20x = 17,700.30 × 7,883.40
  4. Step 4: Simplify right side
    11,800.20x = 139,538,545.02
  5. Step 5: Solve for x
    x = 139,538,545.02/11,800.20
  6. Step 6: Final answer
    x = 11,825.10

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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.