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Finding the Fourth Proportional to 21,952.77, 32,930.58 and 7,719.50

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Solution

The fourth proportional to 21,952.77, 32,930.58 and 7,719.50 is: 11,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,952.77 : 32,930.58 = 7,719.50 : x
  2. Step 2: Convert to fraction form
    21,952.77/32,930.58 = 7,719.50/x
  3. Step 3: Cross multiply
    21,952.77x = 32,930.58 × 7,719.50
  4. Step 4: Simplify right side
    21,952.77x = 254,207,741.91
  5. Step 5: Solve for x
    x = 254,207,741.91/21,952.77
  6. Step 6: Final answer
    x = 11,579.76

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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.