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Finding the Fourth Proportional to 2,607.21, 3,910.77 and 875.84

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Solution

The fourth proportional to 2,607.21, 3,910.77 and 875.84 is: 1,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.21 : 3,910.77 = 875.84 : x
  2. Step 2: Convert to fraction form
    2,607.21/3,910.77 = 875.84/x
  3. Step 3: Cross multiply
    2,607.21x = 3,910.77 × 875.84
  4. Step 4: Simplify right side
    2,607.21x = 3,425,189.24
  5. Step 5: Solve for x
    x = 3,425,189.24/2,607.21
  6. Step 6: Final answer
    x = 1,313.74

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1.5x scale

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.