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Finding the Fourth Proportional to 1,742.16, 2,401.41 and 1,321.16

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Solution

The fourth proportional to 1,742.16, 2,401.41 and 1,321.16 is: 1,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.16 : 2,401.41 = 1,321.16 : x
  2. Step 2: Convert to fraction form
    1,742.16/2,401.41 = 1,321.16/x
  3. Step 3: Cross multiply
    1,742.16x = 2,401.41 × 1,321.16
  4. Step 4: Simplify right side
    1,742.16x = 3,172,646.84
  5. Step 5: Solve for x
    x = 3,172,646.84/1,742.16
  6. Step 6: Final answer
    x = 1,821.10

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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.