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Finding the Fourth Proportional to 21,881.40, 32,814 and 17,210.50

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Solution

The fourth proportional to 21,881.40, 32,814 and 17,210.50 is: 25,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.40 : 32,814 = 17,210.50 : x
  2. Step 2: Convert to fraction form
    21,881.40/32,814 = 17,210.50/x
  3. Step 3: Cross multiply
    21,881.40x = 32,814 × 17,210.50
  4. Step 4: Simplify right side
    21,881.40x = 564,745,347
  5. Step 5: Solve for x
    x = 564,745,347/21,881.40
  6. Step 6: Final answer
    x = 25,809.38

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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.