Home / 1,407.08-2,110.62-381.16

Finding the Fourth Proportional to 1,407.08, 2,110.62 and 381.16

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Solution

The fourth proportional to 1,407.08, 2,110.62 and 381.16 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 2,110.62 = 381.16 : x
  2. Step 2: Convert to fraction form
    1,407.08/2,110.62 = 381.16/x
  3. Step 3: Cross multiply
    1,407.08x = 2,110.62 × 381.16
  4. Step 4: Simplify right side
    1,407.08x = 804,483.92
  5. Step 5: Solve for x
    x = 804,483.92/1,407.08
  6. Step 6: Final answer
    x = 571.74

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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.