Home / 1,581.37-2,370.40-541.02

Finding the Fourth Proportional to 1,581.37, 2,370.40 and 541.02

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Solution

The fourth proportional to 1,581.37, 2,370.40 and 541.02 is: 810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.37 : 2,370.40 = 541.02 : x
  2. Step 2: Convert to fraction form
    1,581.37/2,370.40 = 541.02/x
  3. Step 3: Cross multiply
    1,581.37x = 2,370.40 × 541.02
  4. Step 4: Simplify right side
    1,581.37x = 1,282,432.46
  5. Step 5: Solve for x
    x = 1,282,432.46/1,581.37
  6. Step 6: Final answer
    x = 810.96

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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.