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Finding the Fourth Proportional to 7,120,794.16, 9,826,655.34 and 3,857,672.44

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Solution

The fourth proportional to 7,120,794.16, 9,826,655.34 and 3,857,672.44 is: 5,323,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120,794.16 : 9,826,655.34 = 3,857,672.44 : x
  2. Step 2: Convert to fraction form
    7,120,794.16/9,826,655.34 = 3,857,672.44/x
  3. Step 3: Cross multiply
    7,120,794.16x = 9,826,655.34 × 3,857,672.44
  4. Step 4: Simplify right side
    7,120,794.16x = 37,908,017,482,496.83
  5. Step 5: Solve for x
    x = 37,908,017,482,496.83/7,120,794.16
  6. Step 6: Final answer
    x = 5,323,565.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.