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Finding the Fourth Proportional to 2,113.74, 2,910.87 and 2,070.68

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Solution

The fourth proportional to 2,113.74, 2,910.87 and 2,070.68 is: 2,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.74 : 2,910.87 = 2,070.68 : x
  2. Step 2: Convert to fraction form
    2,113.74/2,910.87 = 2,070.68/x
  3. Step 3: Cross multiply
    2,113.74x = 2,910.87 × 2,070.68
  4. Step 4: Simplify right side
    2,113.74x = 6,027,465.74
  5. Step 5: Solve for x
    x = 6,027,465.74/2,113.74
  6. Step 6: Final answer
    x = 2,851.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.