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Finding the Fourth Proportional to 21,542.99, 32,314.49 and 9,848

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Solution

The fourth proportional to 21,542.99, 32,314.49 and 9,848 is: 14,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.99 : 32,314.49 = 9,848 : x
  2. Step 2: Convert to fraction form
    21,542.99/32,314.49 = 9,848/x
  3. Step 3: Cross multiply
    21,542.99x = 32,314.49 × 9,848
  4. Step 4: Simplify right side
    21,542.99x = 318,233,048.28
  5. Step 5: Solve for x
    x = 318,233,048.28/21,542.99
  6. Step 6: Final answer
    x = 14,772

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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.