Home / 1,585.16-2,377.40-1,507.12

Finding the Fourth Proportional to 1,585.16, 2,377.40 and 1,507.12

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Solution

The fourth proportional to 1,585.16, 2,377.40 and 1,507.12 is: 2,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.16 : 2,377.40 = 1,507.12 : x
  2. Step 2: Convert to fraction form
    1,585.16/2,377.40 = 1,507.12/x
  3. Step 3: Cross multiply
    1,585.16x = 2,377.40 × 1,507.12
  4. Step 4: Simplify right side
    1,585.16x = 3,583,027.09
  5. Step 5: Solve for x
    x = 3,583,027.09/1,585.16
  6. Step 6: Final answer
    x = 2,260.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.