Home / 1,509.24-2,261.12-1,314.84

Finding the Fourth Proportional to 1,509.24, 2,261.12 and 1,314.84

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Solution

The fourth proportional to 1,509.24, 2,261.12 and 1,314.84 is: 1,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.24 : 2,261.12 = 1,314.84 : x
  2. Step 2: Convert to fraction form
    1,509.24/2,261.12 = 1,314.84/x
  3. Step 3: Cross multiply
    1,509.24x = 2,261.12 × 1,314.84
  4. Step 4: Simplify right side
    1,509.24x = 2,973,011.02
  5. Step 5: Solve for x
    x = 2,973,011.02/1,509.24
  6. Step 6: Final answer
    x = 1,969.87

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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.