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Finding the Fourth Proportional to 7,884,580.80, 11,826,871.20 and 7,086,763.20

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Solution

The fourth proportional to 7,884,580.80, 11,826,871.20 and 7,086,763.20 is: 10,630,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,580.80 : 11,826,871.20 = 7,086,763.20 : x
  2. Step 2: Convert to fraction form
    7,884,580.80/11,826,871.20 = 7,086,763.20/x
  3. Step 3: Cross multiply
    7,884,580.80x = 11,826,871.20 × 7,086,763.20
  4. Step 4: Simplify right side
    7,884,580.80x = 83,814,235,591,299.84
  5. Step 5: Solve for x
    x = 83,814,235,591,299.84/7,884,580.80
  6. Step 6: Final answer
    x = 10,630,144.80

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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.