Home / 1,582.89-2,372.67-541.95

Finding the Fourth Proportional to 1,582.89, 2,372.67 and 541.95

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Solution

The fourth proportional to 1,582.89, 2,372.67 and 541.95 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.89 : 2,372.67 = 541.95 : x
  2. Step 2: Convert to fraction form
    1,582.89/2,372.67 = 541.95/x
  3. Step 3: Cross multiply
    1,582.89x = 2,372.67 × 541.95
  4. Step 4: Simplify right side
    1,582.89x = 1,285,868.51
  5. Step 5: Solve for x
    x = 1,285,868.51/1,582.89
  6. Step 6: Final answer
    x = 812.35

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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.