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Finding the Fourth Proportional to 20,854.72, 31,262.64 and 6,994

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Solution

The fourth proportional to 20,854.72, 31,262.64 and 6,994 is: 10,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.72 : 31,262.64 = 6,994 : x
  2. Step 2: Convert to fraction form
    20,854.72/31,262.64 = 6,994/x
  3. Step 3: Cross multiply
    20,854.72x = 31,262.64 × 6,994
  4. Step 4: Simplify right side
    20,854.72x = 218,650,904.16
  5. Step 5: Solve for x
    x = 218,650,904.16/20,854.72
  6. Step 6: Final answer
    x = 10,484.48

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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.