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Finding the Fourth Proportional to 5,172, 7,139.22 and 3,076.08

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Solution

The fourth proportional to 5,172, 7,139.22 and 3,076.08 is: 4,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172 : 7,139.22 = 3,076.08 : x
  2. Step 2: Convert to fraction form
    5,172/7,139.22 = 3,076.08/x
  3. Step 3: Cross multiply
    5,172x = 7,139.22 × 3,076.08
  4. Step 4: Simplify right side
    5,172x = 21,960,811.86
  5. Step 5: Solve for x
    x = 21,960,811.86/5,172
  6. Step 6: Final answer
    x = 4,246.10

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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.