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Finding the Fourth Proportional to 7,887.30, 11,826.49 and 7,217.02

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Solution

The fourth proportional to 7,887.30, 11,826.49 and 7,217.02 is: 10,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.30 : 11,826.49 = 7,217.02 : x
  2. Step 2: Convert to fraction form
    7,887.30/11,826.49 = 7,217.02/x
  3. Step 3: Cross multiply
    7,887.30x = 11,826.49 × 7,217.02
  4. Step 4: Simplify right side
    7,887.30x = 85,352,014.86
  5. Step 5: Solve for x
    x = 85,352,014.86/7,887.30
  6. Step 6: Final answer
    x = 10,821.45

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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.