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Finding the Fourth Proportional to 32,855.41, 45,324.66 and 21,520

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Solution

The fourth proportional to 32,855.41, 45,324.66 and 21,520 is: 29,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.41 : 45,324.66 = 21,520 : x
  2. Step 2: Convert to fraction form
    32,855.41/45,324.66 = 21,520/x
  3. Step 3: Cross multiply
    32,855.41x = 45,324.66 × 21,520
  4. Step 4: Simplify right side
    32,855.41x = 975,386,683.20
  5. Step 5: Solve for x
    x = 975,386,683.20/32,855.41
  6. Step 6: Final answer
    x = 29,687.25

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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.