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Finding the Fourth Proportional to 32,507.91, 44,878.77 and 20,421

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Solution

The fourth proportional to 32,507.91, 44,878.77 and 20,421 is: 28,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.91 : 44,878.77 = 20,421 : x
  2. Step 2: Convert to fraction form
    32,507.91/44,878.77 = 20,421/x
  3. Step 3: Cross multiply
    32,507.91x = 44,878.77 × 20,421
  4. Step 4: Simplify right side
    32,507.91x = 916,469,362.17
  5. Step 5: Solve for x
    x = 916,469,362.17/32,507.91
  6. Step 6: Final answer
    x = 28,192.20

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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.