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Finding the Fourth Proportional to 2,174.91, 3,259.53 and 875.67

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Solution

The fourth proportional to 2,174.91, 3,259.53 and 875.67 is: 1,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.91 : 3,259.53 = 875.67 : x
  2. Step 2: Convert to fraction form
    2,174.91/3,259.53 = 875.67/x
  3. Step 3: Cross multiply
    2,174.91x = 3,259.53 × 875.67
  4. Step 4: Simplify right side
    2,174.91x = 2,854,272.64
  5. Step 5: Solve for x
    x = 2,854,272.64/2,174.91
  6. Step 6: Final answer
    x = 1,312.36

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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.