Home / 1,509.30-2,078.46-1,384.56

Finding the Fourth Proportional to 1,509.30, 2,078.46 and 1,384.56

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Solution

The fourth proportional to 1,509.30, 2,078.46 and 1,384.56 is: 1,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.30 : 2,078.46 = 1,384.56 : x
  2. Step 2: Convert to fraction form
    1,509.30/2,078.46 = 1,384.56/x
  3. Step 3: Cross multiply
    1,509.30x = 2,078.46 × 1,384.56
  4. Step 4: Simplify right side
    1,509.30x = 2,877,752.58
  5. Step 5: Solve for x
    x = 2,877,752.58/1,509.30
  6. Step 6: Final answer
    x = 1,906.68

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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.