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Finding the Fourth Proportional to 21,871, 32,812.37 and 8,732.60

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Solution

The fourth proportional to 21,871, 32,812.37 and 8,732.60 is: 13,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871 : 32,812.37 = 8,732.60 : x
  2. Step 2: Convert to fraction form
    21,871/32,812.37 = 8,732.60/x
  3. Step 3: Cross multiply
    21,871x = 32,812.37 × 8,732.60
  4. Step 4: Simplify right side
    21,871x = 286,537,302.26
  5. Step 5: Solve for x
    x = 286,537,302.26/21,871
  6. Step 6: Final answer
    x = 13,101.24

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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.