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Finding the Fourth Proportional to 5,174, 7,139.80 and 2,816.12

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Solution

The fourth proportional to 5,174, 7,139.80 and 2,816.12 is: 3,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174 : 7,139.80 = 2,816.12 : x
  2. Step 2: Convert to fraction form
    5,174/7,139.80 = 2,816.12/x
  3. Step 3: Cross multiply
    5,174x = 7,139.80 × 2,816.12
  4. Step 4: Simplify right side
    5,174x = 20,106,533.58
  5. Step 5: Solve for x
    x = 20,106,533.58/5,174
  6. Step 6: Final answer
    x = 3,886.07

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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.