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Finding the Fourth Proportional to 2,050, 2,829 and 1,222

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Solution

The fourth proportional to 2,050, 2,829 and 1,222 is: 1,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050 : 2,829 = 1,222 : x
  2. Step 2: Convert to fraction form
    2,050/2,829 = 1,222/x
  3. Step 3: Cross multiply
    2,050x = 2,829 × 1,222
  4. Step 4: Simplify right side
    2,050x = 3,457,038
  5. Step 5: Solve for x
    x = 3,457,038/2,050
  6. Step 6: Final answer
    x = 1,686.36

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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.