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Finding the Fourth Proportional to 2,606.68, 3,909.78 and 875.08

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Solution

The fourth proportional to 2,606.68, 3,909.78 and 875.08 is: 1,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.68 : 3,909.78 = 875.08 : x
  2. Step 2: Convert to fraction form
    2,606.68/3,909.78 = 875.08/x
  3. Step 3: Cross multiply
    2,606.68x = 3,909.78 × 875.08
  4. Step 4: Simplify right side
    2,606.68x = 3,421,370.28
  5. Step 5: Solve for x
    x = 3,421,370.28/2,606.68
  6. Step 6: Final answer
    x = 1,312.54

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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.