Home / 2,082.16-3,124.32-1,509.76

Finding the Fourth Proportional to 2,082.16, 3,124.32 and 1,509.76

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Solution

The fourth proportional to 2,082.16, 3,124.32 and 1,509.76 is: 2,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.16 : 3,124.32 = 1,509.76 : x
  2. Step 2: Convert to fraction form
    2,082.16/3,124.32 = 1,509.76/x
  3. Step 3: Cross multiply
    2,082.16x = 3,124.32 × 1,509.76
  4. Step 4: Simplify right side
    2,082.16x = 4,716,973.36
  5. Step 5: Solve for x
    x = 4,716,973.36/2,082.16
  6. Step 6: Final answer
    x = 2,265.42

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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.