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Finding the Fourth Proportional to 2,113.22, 2,916.22 and 1,169.05

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Solution

The fourth proportional to 2,113.22, 2,916.22 and 1,169.05 is: 1,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.22 : 2,916.22 = 1,169.05 : x
  2. Step 2: Convert to fraction form
    2,113.22/2,916.22 = 1,169.05/x
  3. Step 3: Cross multiply
    2,113.22x = 2,916.22 × 1,169.05
  4. Step 4: Simplify right side
    2,113.22x = 3,409,206.99
  5. Step 5: Solve for x
    x = 3,409,206.99/2,113.22
  6. Step 6: Final answer
    x = 1,613.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.