Home / 1,509.47-2,084.24-1,216.12

Finding the Fourth Proportional to 1,509.47, 2,084.24 and 1,216.12

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Solution

The fourth proportional to 1,509.47, 2,084.24 and 1,216.12 is: 1,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.47 : 2,084.24 = 1,216.12 : x
  2. Step 2: Convert to fraction form
    1,509.47/2,084.24 = 1,216.12/x
  3. Step 3: Cross multiply
    1,509.47x = 2,084.24 × 1,216.12
  4. Step 4: Simplify right side
    1,509.47x = 2,534,685.95
  5. Step 5: Solve for x
    x = 2,534,685.95/1,509.47
  6. Step 6: Final answer
    x = 1,679.19

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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.