Home / 2,970-4,452.30-1,582.74

Finding the Fourth Proportional to 2,970, 4,452.30 and 1,582.74

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Solution

The fourth proportional to 2,970, 4,452.30 and 1,582.74 is: 2,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 4,452.30 = 1,582.74 : x
  2. Step 2: Convert to fraction form
    2,970/4,452.30 = 1,582.74/x
  3. Step 3: Cross multiply
    2,970x = 4,452.30 × 1,582.74
  4. Step 4: Simplify right side
    2,970x = 7,046,833.30
  5. Step 5: Solve for x
    x = 7,046,833.30/2,970
  6. Step 6: Final answer
    x = 2,372.67

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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.