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Finding the Fourth Proportional to 21,800.40, 32,681.16 and 8,646

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Solution

The fourth proportional to 21,800.40, 32,681.16 and 8,646 is: 12,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.40 : 32,681.16 = 8,646 : x
  2. Step 2: Convert to fraction form
    21,800.40/32,681.16 = 8,646/x
  3. Step 3: Cross multiply
    21,800.40x = 32,681.16 × 8,646
  4. Step 4: Simplify right side
    21,800.40x = 282,561,309.36
  5. Step 5: Solve for x
    x = 282,561,309.36/21,800.40
  6. Step 6: Final answer
    x = 12,961.29

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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.