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Finding the Fourth Proportional to 32,978.40, 45,513.36 and 18,832.32

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Solution

The fourth proportional to 32,978.40, 45,513.36 and 18,832.32 is: 25,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.40 : 45,513.36 = 18,832.32 : x
  2. Step 2: Convert to fraction form
    32,978.40/45,513.36 = 18,832.32/x
  3. Step 3: Cross multiply
    32,978.40x = 45,513.36 × 18,832.32
  4. Step 4: Simplify right side
    32,978.40x = 857,122,159.80
  5. Step 5: Solve for x
    x = 857,122,159.80/32,978.40
  6. Step 6: Final answer
    x = 25,990.41

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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.