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Finding the Fourth Proportional to 32,864, 45,352.32 and 21,108.48

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Solution

The fourth proportional to 32,864, 45,352.32 and 21,108.48 is: 29,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864 : 45,352.32 = 21,108.48 : x
  2. Step 2: Convert to fraction form
    32,864/45,352.32 = 21,108.48/x
  3. Step 3: Cross multiply
    32,864x = 45,352.32 × 21,108.48
  4. Step 4: Simplify right side
    32,864x = 957,318,539.67
  5. Step 5: Solve for x
    x = 957,318,539.67/32,864
  6. Step 6: Final answer
    x = 29,129.70

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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.