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Finding the Fourth Proportional to 32,390.29, 48,475.69 and 19,918.21

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Solution

The fourth proportional to 32,390.29, 48,475.69 and 19,918.21 is: 29,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,390.29 : 48,475.69 = 19,918.21 : x
  2. Step 2: Convert to fraction form
    32,390.29/48,475.69 = 19,918.21/x
  3. Step 3: Cross multiply
    32,390.29x = 48,475.69 × 19,918.21
  4. Step 4: Simplify right side
    32,390.29x = 965,548,973.31
  5. Step 5: Solve for x
    x = 965,548,973.31/32,390.29
  6. Step 6: Final answer
    x = 29,809.83

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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.