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Finding the Fourth Proportional to 14,541, 20,066.58 and 7,917

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Solution

The fourth proportional to 14,541, 20,066.58 and 7,917 is: 10,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541 : 20,066.58 = 7,917 : x
  2. Step 2: Convert to fraction form
    14,541/20,066.58 = 7,917/x
  3. Step 3: Cross multiply
    14,541x = 20,066.58 × 7,917
  4. Step 4: Simplify right side
    14,541x = 158,867,113.86
  5. Step 5: Solve for x
    x = 158,867,113.86/14,541
  6. Step 6: Final answer
    x = 10,925.46

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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.