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Finding the Fourth Proportional to 2,946.25, 4,420.14 and 866.33

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Solution

The fourth proportional to 2,946.25, 4,420.14 and 866.33 is: 1,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.25 : 4,420.14 = 866.33 : x
  2. Step 2: Convert to fraction form
    2,946.25/4,420.14 = 866.33/x
  3. Step 3: Cross multiply
    2,946.25x = 4,420.14 × 866.33
  4. Step 4: Simplify right side
    2,946.25x = 3,829,282.34
  5. Step 5: Solve for x
    x = 3,829,282.34/2,946.25
  6. Step 6: Final answer
    x = 1,299.71

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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.