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Finding the Fourth Proportional to 19,803.12, 29,682.54 and 9,393

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Solution

The fourth proportional to 19,803.12, 29,682.54 and 9,393 is: 14,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.12 : 29,682.54 = 9,393 : x
  2. Step 2: Convert to fraction form
    19,803.12/29,682.54 = 9,393/x
  3. Step 3: Cross multiply
    19,803.12x = 29,682.54 × 9,393
  4. Step 4: Simplify right side
    19,803.12x = 278,808,098.22
  5. Step 5: Solve for x
    x = 278,808,098.22/19,803.12
  6. Step 6: Final answer
    x = 14,079.00

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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.