Home / 3,437-5,156.52-1,977.20

Finding the Fourth Proportional to 3,437, 5,156.52 and 1,977.20

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Solution

The fourth proportional to 3,437, 5,156.52 and 1,977.20 is: 2,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 5,156.52 = 1,977.20 : x
  2. Step 2: Convert to fraction form
    3,437/5,156.52 = 1,977.20/x
  3. Step 3: Cross multiply
    3,437x = 5,156.52 × 1,977.20
  4. Step 4: Simplify right side
    3,437x = 10,195,471.34
  5. Step 5: Solve for x
    x = 10,195,471.34/3,437
  6. Step 6: Final answer
    x = 2,966.39

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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.