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Finding the Fourth Proportional to 32,671.65, 45,080 and 21,357.72

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Solution

The fourth proportional to 32,671.65, 45,080 and 21,357.72 is: 29,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.65 : 45,080 = 21,357.72 : x
  2. Step 2: Convert to fraction form
    32,671.65/45,080 = 21,357.72/x
  3. Step 3: Cross multiply
    32,671.65x = 45,080 × 21,357.72
  4. Step 4: Simplify right side
    32,671.65x = 962,806,017.60
  5. Step 5: Solve for x
    x = 962,806,017.60/32,671.65
  6. Step 6: Final answer
    x = 29,469.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.