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Finding the Fourth Proportional to 1,673.30, 2,512.65 and 1,214.30

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Solution

The fourth proportional to 1,673.30, 2,512.65 and 1,214.30 is: 1,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.30 : 2,512.65 = 1,214.30 : x
  2. Step 2: Convert to fraction form
    1,673.30/2,512.65 = 1,214.30/x
  3. Step 3: Cross multiply
    1,673.30x = 2,512.65 × 1,214.30
  4. Step 4: Simplify right side
    1,673.30x = 3,051,110.90
  5. Step 5: Solve for x
    x = 3,051,110.90/1,673.30
  6. Step 6: Final answer
    x = 1,823.41

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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.