Home / 1,507.46-2,078.19-1,035.23

Finding the Fourth Proportional to 1,507.46, 2,078.19 and 1,035.23

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Solution

The fourth proportional to 1,507.46, 2,078.19 and 1,035.23 is: 1,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.46 : 2,078.19 = 1,035.23 : x
  2. Step 2: Convert to fraction form
    1,507.46/2,078.19 = 1,035.23/x
  3. Step 3: Cross multiply
    1,507.46x = 2,078.19 × 1,035.23
  4. Step 4: Simplify right side
    1,507.46x = 2,151,394.24
  5. Step 5: Solve for x
    x = 2,151,394.24/1,507.46
  6. Step 6: Final answer
    x = 1,427.17

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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.