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Finding the Fourth Proportional to 3,603.02, 5,404.53 and 2,782.49

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Solution

The fourth proportional to 3,603.02, 5,404.53 and 2,782.49 is: 4,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.02 : 5,404.53 = 2,782.49 : x
  2. Step 2: Convert to fraction form
    3,603.02/5,404.53 = 2,782.49/x
  3. Step 3: Cross multiply
    3,603.02x = 5,404.53 × 2,782.49
  4. Step 4: Simplify right side
    3,603.02x = 15,038,050.68
  5. Step 5: Solve for x
    x = 15,038,050.68/3,603.02
  6. Step 6: Final answer
    x = 4,173.74

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1.5x scale

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.