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Finding the Fourth Proportional to 21,661.61, 32,478.01 and 7,808.81

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Solution

The fourth proportional to 21,661.61, 32,478.01 and 7,808.81 is: 11,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.61 : 32,478.01 = 7,808.81 : x
  2. Step 2: Convert to fraction form
    21,661.61/32,478.01 = 7,808.81/x
  3. Step 3: Cross multiply
    21,661.61x = 32,478.01 × 7,808.81
  4. Step 4: Simplify right side
    21,661.61x = 253,614,427.36
  5. Step 5: Solve for x
    x = 253,614,427.36/21,661.61
  6. Step 6: Final answer
    x = 11,708.02

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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.