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Finding the Fourth Proportional to 32,838.16, 45,316.71 and 18,691

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Solution

The fourth proportional to 32,838.16, 45,316.71 and 18,691 is: 25,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.16 : 45,316.71 = 18,691 : x
  2. Step 2: Convert to fraction form
    32,838.16/45,316.71 = 18,691/x
  3. Step 3: Cross multiply
    32,838.16x = 45,316.71 × 18,691
  4. Step 4: Simplify right side
    32,838.16x = 847,014,579.88
  5. Step 5: Solve for x
    x = 847,014,579.88/32,838.16
  6. Step 6: Final answer
    x = 25,793.61

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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.