Home / 1,476.24-2,037.16-813.12

Finding the Fourth Proportional to 1,476.24, 2,037.16 and 813.12

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Solution

The fourth proportional to 1,476.24, 2,037.16 and 813.12 is: 1,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.24 : 2,037.16 = 813.12 : x
  2. Step 2: Convert to fraction form
    1,476.24/2,037.16 = 813.12/x
  3. Step 3: Cross multiply
    1,476.24x = 2,037.16 × 813.12
  4. Step 4: Simplify right side
    1,476.24x = 1,656,455.54
  5. Step 5: Solve for x
    x = 1,656,455.54/1,476.24
  6. Step 6: Final answer
    x = 1,122.08

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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.