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Finding the Fourth Proportional to 7,782,800.80, 11,642,708.40 and 6,838,016.80

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Solution

The fourth proportional to 7,782,800.80, 11,642,708.40 and 6,838,016.80 is: 10,229,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,800.80 : 11,642,708.40 = 6,838,016.80 : x
  2. Step 2: Convert to fraction form
    7,782,800.80/11,642,708.40 = 6,838,016.80/x
  3. Step 3: Cross multiply
    7,782,800.80x = 11,642,708.40 × 6,838,016.80
  4. Step 4: Simplify right side
    7,782,800.80x = 79,613,035,636,701.12
  5. Step 5: Solve for x
    x = 79,613,035,636,701.12/7,782,800.80
  6. Step 6: Final answer
    x = 10,229,355.43

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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.