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Finding the Fourth Proportional to 4,499.50, 6,750.33 and 1,421.50

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Solution

The fourth proportional to 4,499.50, 6,750.33 and 1,421.50 is: 2,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.50 : 6,750.33 = 1,421.50 : x
  2. Step 2: Convert to fraction form
    4,499.50/6,750.33 = 1,421.50/x
  3. Step 3: Cross multiply
    4,499.50x = 6,750.33 × 1,421.50
  4. Step 4: Simplify right side
    4,499.50x = 9,595,594.10
  5. Step 5: Solve for x
    x = 9,595,594.10/4,499.50
  6. Step 6: Final answer
    x = 2,132.59

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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.