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Finding the Fourth Proportional to 17,643.60, 26,443.80 and 7,772.40

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Solution

The fourth proportional to 17,643.60, 26,443.80 and 7,772.40 is: 11,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.60 : 26,443.80 = 7,772.40 : x
  2. Step 2: Convert to fraction form
    17,643.60/26,443.80 = 7,772.40/x
  3. Step 3: Cross multiply
    17,643.60x = 26,443.80 × 7,772.40
  4. Step 4: Simplify right side
    17,643.60x = 205,531,791.12
  5. Step 5: Solve for x
    x = 205,531,791.12/17,643.60
  6. Step 6: Final answer
    x = 11,649.08

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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.