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Finding the Fourth Proportional to 5,099, 7,036.52 and 2,860.86

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Solution

The fourth proportional to 5,099, 7,036.52 and 2,860.86 is: 3,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099 : 7,036.52 = 2,860.86 : x
  2. Step 2: Convert to fraction form
    5,099/7,036.52 = 2,860.86/x
  3. Step 3: Cross multiply
    5,099x = 7,036.52 × 2,860.86
  4. Step 4: Simplify right side
    5,099x = 20,130,498.61
  5. Step 5: Solve for x
    x = 20,130,498.61/5,099
  6. Step 6: Final answer
    x = 3,947.93

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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.