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Finding the Fourth Proportional to 31,642, 43,666.72 and 20,483.44

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Solution

The fourth proportional to 31,642, 43,666.72 and 20,483.44 is: 28,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642 : 43,666.72 = 20,483.44 : x
  2. Step 2: Convert to fraction form
    31,642/43,666.72 = 20,483.44/x
  3. Step 3: Cross multiply
    31,642x = 43,666.72 × 20,483.44
  4. Step 4: Simplify right side
    31,642x = 894,444,639.12
  5. Step 5: Solve for x
    x = 894,444,639.12/31,642
  6. Step 6: Final answer
    x = 28,267.64

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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.