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Finding the Fourth Proportional to 2,017.96, 3,026.93 and 557.11

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Solution

The fourth proportional to 2,017.96, 3,026.93 and 557.11 is: 835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.96 : 3,026.93 = 557.11 : x
  2. Step 2: Convert to fraction form
    2,017.96/3,026.93 = 557.11/x
  3. Step 3: Cross multiply
    2,017.96x = 3,026.93 × 557.11
  4. Step 4: Simplify right side
    2,017.96x = 1,686,317.84
  5. Step 5: Solve for x
    x = 1,686,317.84/2,017.96
  6. Step 6: Final answer
    x = 835.66

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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.