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Finding the Fourth Proportional to 1,410.24, 2,115.36 and 833.28

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Solution

The fourth proportional to 1,410.24, 2,115.36 and 833.28 is: 1,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.24 : 2,115.36 = 833.28 : x
  2. Step 2: Convert to fraction form
    1,410.24/2,115.36 = 833.28/x
  3. Step 3: Cross multiply
    1,410.24x = 2,115.36 × 833.28
  4. Step 4: Simplify right side
    1,410.24x = 1,762,687.18
  5. Step 5: Solve for x
    x = 1,762,687.18/1,410.24
  6. Step 6: Final answer
    x = 1,249.92

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Double scale
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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.