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Finding the Fourth Proportional to 32,333, 48,502.32 and 8,959.64

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Solution

The fourth proportional to 32,333, 48,502.32 and 8,959.64 is: 13,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333 : 48,502.32 = 8,959.64 : x
  2. Step 2: Convert to fraction form
    32,333/48,502.32 = 8,959.64/x
  3. Step 3: Cross multiply
    32,333x = 48,502.32 × 8,959.64
  4. Step 4: Simplify right side
    32,333x = 434,563,326.36
  5. Step 5: Solve for x
    x = 434,563,326.36/32,333
  6. Step 6: Final answer
    x = 13,440.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.