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Finding the Fourth Proportional to 1,216.13, 1,823.87 and 1,021.19

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Solution

The fourth proportional to 1,216.13, 1,823.87 and 1,021.19 is: 1,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.13 : 1,823.87 = 1,021.19 : x
  2. Step 2: Convert to fraction form
    1,216.13/1,823.87 = 1,021.19/x
  3. Step 3: Cross multiply
    1,216.13x = 1,823.87 × 1,021.19
  4. Step 4: Simplify right side
    1,216.13x = 1,862,503.58
  5. Step 5: Solve for x
    x = 1,862,503.58/1,216.13
  6. Step 6: Final answer
    x = 1,531.51

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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.