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Finding the Fourth Proportional to 7,766, 10,717.80 and 4,454

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Solution

The fourth proportional to 7,766, 10,717.80 and 4,454 is: 6,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 10,717.80 = 4,454 : x
  2. Step 2: Convert to fraction form
    7,766/10,717.80 = 4,454/x
  3. Step 3: Cross multiply
    7,766x = 10,717.80 × 4,454
  4. Step 4: Simplify right side
    7,766x = 47,737,081.20
  5. Step 5: Solve for x
    x = 47,737,081.20/7,766
  6. Step 6: Final answer
    x = 6,146.93

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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.