Home / 1,509.08-2,082.38-919.76

Finding the Fourth Proportional to 1,509.08, 2,082.38 and 919.76

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Solution

The fourth proportional to 1,509.08, 2,082.38 and 919.76 is: 1,269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.08 : 2,082.38 = 919.76 : x
  2. Step 2: Convert to fraction form
    1,509.08/2,082.38 = 919.76/x
  3. Step 3: Cross multiply
    1,509.08x = 2,082.38 × 919.76
  4. Step 4: Simplify right side
    1,509.08x = 1,915,289.83
  5. Step 5: Solve for x
    x = 1,915,289.83/1,509.08
  6. Step 6: Final answer
    x = 1,269.18

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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.