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Finding the Fourth Proportional to 2,609.54, 3,910.67 and 1,875.68

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Solution

The fourth proportional to 2,609.54, 3,910.67 and 1,875.68 is: 2,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.54 : 3,910.67 = 1,875.68 : x
  2. Step 2: Convert to fraction form
    2,609.54/3,910.67 = 1,875.68/x
  3. Step 3: Cross multiply
    2,609.54x = 3,910.67 × 1,875.68
  4. Step 4: Simplify right side
    2,609.54x = 7,335,165.51
  5. Step 5: Solve for x
    x = 7,335,165.51/2,609.54
  6. Step 6: Final answer
    x = 2,810.90

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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.