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Finding the Fourth Proportional to 21,959.77, 32,943.90 and 7,164.71

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Solution

The fourth proportional to 21,959.77, 32,943.90 and 7,164.71 is: 10,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.77 : 32,943.90 = 7,164.71 : x
  2. Step 2: Convert to fraction form
    21,959.77/32,943.90 = 7,164.71/x
  3. Step 3: Cross multiply
    21,959.77x = 32,943.90 × 7,164.71
  4. Step 4: Simplify right side
    21,959.77x = 236,033,489.77
  5. Step 5: Solve for x
    x = 236,033,489.77/21,959.77
  6. Step 6: Final answer
    x = 10,748.45

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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.