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Finding the Fourth Proportional to 2,124.90, 3,189.24 and 893.16

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Solution

The fourth proportional to 2,124.90, 3,189.24 and 893.16 is: 1,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.90 : 3,189.24 = 893.16 : x
  2. Step 2: Convert to fraction form
    2,124.90/3,189.24 = 893.16/x
  3. Step 3: Cross multiply
    2,124.90x = 3,189.24 × 893.16
  4. Step 4: Simplify right side
    2,124.90x = 2,848,501.60
  5. Step 5: Solve for x
    x = 2,848,501.60/2,124.90
  6. Step 6: Final answer
    x = 1,340.53

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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.