Home / 1,407.24-2,111.10-541.48

Finding the Fourth Proportional to 1,407.24, 2,111.10 and 541.48

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Solution

The fourth proportional to 1,407.24, 2,111.10 and 541.48 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 2,111.10 = 541.48 : x
  2. Step 2: Convert to fraction form
    1,407.24/2,111.10 = 541.48/x
  3. Step 3: Cross multiply
    1,407.24x = 2,111.10 × 541.48
  4. Step 4: Simplify right side
    1,407.24x = 1,143,118.43
  5. Step 5: Solve for x
    x = 1,143,118.43/1,407.24
  6. Step 6: Final answer
    x = 812.32

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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.