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Finding the Fourth Proportional to 12,969.22, 19,455 and 7,807.90

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Solution

The fourth proportional to 12,969.22, 19,455 and 7,807.90 is: 11,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.22 : 19,455 = 7,807.90 : x
  2. Step 2: Convert to fraction form
    12,969.22/19,455 = 7,807.90/x
  3. Step 3: Cross multiply
    12,969.22x = 19,455 × 7,807.90
  4. Step 4: Simplify right side
    12,969.22x = 151,902,694.50
  5. Step 5: Solve for x
    x = 151,902,694.50/12,969.22
  6. Step 6: Final answer
    x = 11,712.55

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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.