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Finding the Fourth Proportional to 21,356.99, 32,013.19 and 7,312.88

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Solution

The fourth proportional to 21,356.99, 32,013.19 and 7,312.88 is: 10,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.99 : 32,013.19 = 7,312.88 : x
  2. Step 2: Convert to fraction form
    21,356.99/32,013.19 = 7,312.88/x
  3. Step 3: Cross multiply
    21,356.99x = 32,013.19 × 7,312.88
  4. Step 4: Simplify right side
    21,356.99x = 234,108,438.54
  5. Step 5: Solve for x
    x = 234,108,438.54/21,356.99
  6. Step 6: Final answer
    x = 10,961.68

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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.