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Finding the Fourth Proportional to 21,358.56, 32,036.64 and 5,775

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Solution

The fourth proportional to 21,358.56, 32,036.64 and 5,775 is: 8,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.56 : 32,036.64 = 5,775 : x
  2. Step 2: Convert to fraction form
    21,358.56/32,036.64 = 5,775/x
  3. Step 3: Cross multiply
    21,358.56x = 32,036.64 × 5,775
  4. Step 4: Simplify right side
    21,358.56x = 185,011,596
  5. Step 5: Solve for x
    x = 185,011,596/21,358.56
  6. Step 6: Final answer
    x = 8,662.18

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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.