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Finding the Fourth Proportional to 2,358.70, 3,542.10 and 1,670.20

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Solution

The fourth proportional to 2,358.70, 3,542.10 and 1,670.20 is: 2,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.70 : 3,542.10 = 1,670.20 : x
  2. Step 2: Convert to fraction form
    2,358.70/3,542.10 = 1,670.20/x
  3. Step 3: Cross multiply
    2,358.70x = 3,542.10 × 1,670.20
  4. Step 4: Simplify right side
    2,358.70x = 5,916,015.42
  5. Step 5: Solve for x
    x = 5,916,015.42/2,358.70
  6. Step 6: Final answer
    x = 2,508.17

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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.