Home / 1,407.24-2,110.86-758.16

Finding the Fourth Proportional to 1,407.24, 2,110.86 and 758.16

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Solution

The fourth proportional to 1,407.24, 2,110.86 and 758.16 is: 1,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 2,110.86 = 758.16 : x
  2. Step 2: Convert to fraction form
    1,407.24/2,110.86 = 758.16/x
  3. Step 3: Cross multiply
    1,407.24x = 2,110.86 × 758.16
  4. Step 4: Simplify right side
    1,407.24x = 1,600,369.62
  5. Step 5: Solve for x
    x = 1,600,369.62/1,407.24
  6. Step 6: Final answer
    x = 1,137.24

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1.5x scale

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.