Home / 1,582.04-2,372.74-427.52

Finding the Fourth Proportional to 1,582.04, 2,372.74 and 427.52

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Solution

The fourth proportional to 1,582.04, 2,372.74 and 427.52 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.04 : 2,372.74 = 427.52 : x
  2. Step 2: Convert to fraction form
    1,582.04/2,372.74 = 427.52/x
  3. Step 3: Cross multiply
    1,582.04x = 2,372.74 × 427.52
  4. Step 4: Simplify right side
    1,582.04x = 1,014,393.80
  5. Step 5: Solve for x
    x = 1,014,393.80/1,582.04
  6. Step 6: Final answer
    x = 641.19

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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.