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Finding the Fourth Proportional to 21,808.47, 32,686.29 and 9,946.00

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Solution

The fourth proportional to 21,808.47, 32,686.29 and 9,946.00 is: 14,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.47 : 32,686.29 = 9,946.00 : x
  2. Step 2: Convert to fraction form
    21,808.47/32,686.29 = 9,946.00/x
  3. Step 3: Cross multiply
    21,808.47x = 32,686.29 × 9,946.00
  4. Step 4: Simplify right side
    21,808.47x = 325,097,817.24
  5. Step 5: Solve for x
    x = 325,097,817.24/21,808.47
  6. Step 6: Final answer
    x = 14,906.96

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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.