Home / 1,509.20-2,246.88-1,502

Finding the Fourth Proportional to 1,509.20, 2,246.88 and 1,502

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Solution

The fourth proportional to 1,509.20, 2,246.88 and 1,502 is: 2,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,246.88 = 1,502 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,246.88 = 1,502/x
  3. Step 3: Cross multiply
    1,509.20x = 2,246.88 × 1,502
  4. Step 4: Simplify right side
    1,509.20x = 3,374,813.76
  5. Step 5: Solve for x
    x = 3,374,813.76/1,509.20
  6. Step 6: Final answer
    x = 2,236.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.