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Finding the Fourth Proportional to 5,168, 7,780.13 and 4,708.73

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Solution

The fourth proportional to 5,168, 7,780.13 and 4,708.73 is: 7,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168 : 7,780.13 = 4,708.73 : x
  2. Step 2: Convert to fraction form
    5,168/7,780.13 = 4,708.73/x
  3. Step 3: Cross multiply
    5,168x = 7,780.13 × 4,708.73
  4. Step 4: Simplify right side
    5,168x = 36,634,531.53
  5. Step 5: Solve for x
    x = 36,634,531.53/5,168
  6. Step 6: Final answer
    x = 7,088.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.