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Finding the Fourth Proportional to 21,606.24, 32,410.06 and 6,815.30

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Solution

The fourth proportional to 21,606.24, 32,410.06 and 6,815.30 is: 10,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.24 : 32,410.06 = 6,815.30 : x
  2. Step 2: Convert to fraction form
    21,606.24/32,410.06 = 6,815.30/x
  3. Step 3: Cross multiply
    21,606.24x = 32,410.06 × 6,815.30
  4. Step 4: Simplify right side
    21,606.24x = 220,884,281.92
  5. Step 5: Solve for x
    x = 220,884,281.92/21,606.24
  6. Step 6: Final answer
    x = 10,223.17

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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.