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Finding the Fourth Proportional to 2,814.48, 4,221.73 and 866.69

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Solution

The fourth proportional to 2,814.48, 4,221.73 and 866.69 is: 1,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.48 : 4,221.73 = 866.69 : x
  2. Step 2: Convert to fraction form
    2,814.48/4,221.73 = 866.69/x
  3. Step 3: Cross multiply
    2,814.48x = 4,221.73 × 866.69
  4. Step 4: Simplify right side
    2,814.48x = 3,658,931.17
  5. Step 5: Solve for x
    x = 3,658,931.17/2,814.48
  6. Step 6: Final answer
    x = 1,300.04

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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.