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Finding the Fourth Proportional to 13,787,712.12, 20,691,017.46 and 4,812,264.12

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Solution

The fourth proportional to 13,787,712.12, 20,691,017.46 and 4,812,264.12 is: 7,221,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787,712.12 : 20,691,017.46 = 4,812,264.12 : x
  2. Step 2: Convert to fraction form
    13,787,712.12/20,691,017.46 = 4,812,264.12/x
  3. Step 3: Cross multiply
    13,787,712.12x = 20,691,017.46 × 4,812,264.12
  4. Step 4: Simplify right side
    13,787,712.12x = 99,570,640,929,051.55
  5. Step 5: Solve for x
    x = 99,570,640,929,051.55/13,787,712.12
  6. Step 6: Final answer
    x = 7,221,694.22

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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.