Home / 1,509.36-2,080.44-1,160.16

Finding the Fourth Proportional to 1,509.36, 2,080.44 and 1,160.16

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Solution

The fourth proportional to 1,509.36, 2,080.44 and 1,160.16 is: 1,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.36 : 2,080.44 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    1,509.36/2,080.44 = 1,160.16/x
  3. Step 3: Cross multiply
    1,509.36x = 2,080.44 × 1,160.16
  4. Step 4: Simplify right side
    1,509.36x = 2,413,643.27
  5. Step 5: Solve for x
    x = 2,413,643.27/1,509.36
  6. Step 6: Final answer
    x = 1,599.12

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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.