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Finding the Fourth Proportional to 5,184.76, 7,776.98 and 2,986.68

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Solution

The fourth proportional to 5,184.76, 7,776.98 and 2,986.68 is: 4,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.76 : 7,776.98 = 2,986.68 : x
  2. Step 2: Convert to fraction form
    5,184.76/7,776.98 = 2,986.68/x
  3. Step 3: Cross multiply
    5,184.76x = 7,776.98 × 2,986.68
  4. Step 4: Simplify right side
    5,184.76x = 23,227,350.63
  5. Step 5: Solve for x
    x = 23,227,350.63/5,184.76
  6. Step 6: Final answer
    x = 4,479.93

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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.