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Finding the Fourth Proportional to 5,180.69, 7,807.50 and 4,687.76

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Solution

The fourth proportional to 5,180.69, 7,807.50 and 4,687.76 is: 7,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.69 : 7,807.50 = 4,687.76 : x
  2. Step 2: Convert to fraction form
    5,180.69/7,807.50 = 4,687.76/x
  3. Step 3: Cross multiply
    5,180.69x = 7,807.50 × 4,687.76
  4. Step 4: Simplify right side
    5,180.69x = 36,599,647.16
  5. Step 5: Solve for x
    x = 36,599,647.16/5,180.69
  6. Step 6: Final answer
    x = 7,064.63

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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.