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Finding the Fourth Proportional to 32,813.72, 45,267.17 and 21,478.22

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Solution

The fourth proportional to 32,813.72, 45,267.17 and 21,478.22 is: 29,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.72 : 45,267.17 = 21,478.22 : x
  2. Step 2: Convert to fraction form
    32,813.72/45,267.17 = 21,478.22/x
  3. Step 3: Cross multiply
    32,813.72x = 45,267.17 × 21,478.22
  4. Step 4: Simplify right side
    32,813.72x = 972,258,236.04
  5. Step 5: Solve for x
    x = 972,258,236.04/32,813.72
  6. Step 6: Final answer
    x = 29,629.63

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1.5x scale

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.