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Finding the Fourth Proportional to 5,781,447.72, 7,976,685.06 and 3,488,668.20

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Solution

The fourth proportional to 5,781,447.72, 7,976,685.06 and 3,488,668.20 is: 4,813,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,447.72 : 7,976,685.06 = 3,488,668.20 : x
  2. Step 2: Convert to fraction form
    5,781,447.72/7,976,685.06 = 3,488,668.20/x
  3. Step 3: Cross multiply
    5,781,447.72x = 7,976,685.06 × 3,488,668.20
  4. Step 4: Simplify right side
    5,781,447.72x = 27,828,007,510,237.09
  5. Step 5: Solve for x
    x = 27,828,007,510,237.09/5,781,447.72
  6. Step 6: Final answer
    x = 4,813,328.57

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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.