Home / 2,202-3,038.61-1,207.29

Finding the Fourth Proportional to 2,202, 3,038.61 and 1,207.29

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Solution

The fourth proportional to 2,202, 3,038.61 and 1,207.29 is: 1,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 3,038.61 = 1,207.29 : x
  2. Step 2: Convert to fraction form
    2,202/3,038.61 = 1,207.29/x
  3. Step 3: Cross multiply
    2,202x = 3,038.61 × 1,207.29
  4. Step 4: Simplify right side
    2,202x = 3,668,483.47
  5. Step 5: Solve for x
    x = 3,668,483.47/2,202
  6. Step 6: Final answer
    x = 1,665.98

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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.