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Finding the Fourth Proportional to 1,509.13, 2,082 and 919.45

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Solution

The fourth proportional to 1,509.13, 2,082 and 919.45 is: 1,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.13 : 2,082 = 919.45 : x
  2. Step 2: Convert to fraction form
    1,509.13/2,082 = 919.45/x
  3. Step 3: Cross multiply
    1,509.13x = 2,082 × 919.45
  4. Step 4: Simplify right side
    1,509.13x = 1,914,294.90
  5. Step 5: Solve for x
    x = 1,914,294.90/1,509.13
  6. Step 6: Final answer
    x = 1,268.48

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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.