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Finding the Fourth Proportional to 8,323,809.30, 12,485,713.95 and 7,826,145.30

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Solution

The fourth proportional to 8,323,809.30, 12,485,713.95 and 7,826,145.30 is: 11,739,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323,809.30 : 12,485,713.95 = 7,826,145.30 : x
  2. Step 2: Convert to fraction form
    8,323,809.30/12,485,713.95 = 7,826,145.30/x
  3. Step 3: Cross multiply
    8,323,809.30x = 12,485,713.95 × 7,826,145.30
  4. Step 4: Simplify right side
    8,323,809.30x = 97,715,011,546,936.92
  5. Step 5: Solve for x
    x = 97,715,011,546,936.92/8,323,809.30
  6. Step 6: Final answer
    x = 11,739,217.95

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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.