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Finding the Fourth Proportional to 20,924.98, 31,384.74 and 9,235.48

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Solution

The fourth proportional to 20,924.98, 31,384.74 and 9,235.48 is: 13,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.98 : 31,384.74 = 9,235.48 : x
  2. Step 2: Convert to fraction form
    20,924.98/31,384.74 = 9,235.48/x
  3. Step 3: Cross multiply
    20,924.98x = 31,384.74 × 9,235.48
  4. Step 4: Simplify right side
    20,924.98x = 289,853,138.58
  5. Step 5: Solve for x
    x = 289,853,138.58/20,924.98
  6. Step 6: Final answer
    x = 13,852.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.