Home / 2,026.90-3,038.34-857.22

Finding the Fourth Proportional to 2,026.90, 3,038.34 and 857.22

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Solution

The fourth proportional to 2,026.90, 3,038.34 and 857.22 is: 1,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.90 : 3,038.34 = 857.22 : x
  2. Step 2: Convert to fraction form
    2,026.90/3,038.34 = 857.22/x
  3. Step 3: Cross multiply
    2,026.90x = 3,038.34 × 857.22
  4. Step 4: Simplify right side
    2,026.90x = 2,604,525.81
  5. Step 5: Solve for x
    x = 2,604,525.81/2,026.90
  6. Step 6: Final answer
    x = 1,284.98

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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.