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Finding the Fourth Proportional to 7,920, 11,878.71 and 2,657.34

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Solution

The fourth proportional to 7,920, 11,878.71 and 2,657.34 is: 3,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 11,878.71 = 2,657.34 : x
  2. Step 2: Convert to fraction form
    7,920/11,878.71 = 2,657.34/x
  3. Step 3: Cross multiply
    7,920x = 11,878.71 × 2,657.34
  4. Step 4: Simplify right side
    7,920x = 31,565,771.23
  5. Step 5: Solve for x
    x = 31,565,771.23/7,920
  6. Step 6: Final answer
    x = 3,985.58

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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.