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Finding the Fourth Proportional to 21,930.86, 32,888.53 and 7,137.02

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Solution

The fourth proportional to 21,930.86, 32,888.53 and 7,137.02 is: 10,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.86 : 32,888.53 = 7,137.02 : x
  2. Step 2: Convert to fraction form
    21,930.86/32,888.53 = 7,137.02/x
  3. Step 3: Cross multiply
    21,930.86x = 32,888.53 × 7,137.02
  4. Step 4: Simplify right side
    21,930.86x = 234,726,096.38
  5. Step 5: Solve for x
    x = 234,726,096.38/21,930.86
  6. Step 6: Final answer
    x = 10,703.00

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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.