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Finding the Fourth Proportional to 2,931.02, 4,396.36 and 739.74

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Solution

The fourth proportional to 2,931.02, 4,396.36 and 739.74 is: 1,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.02 : 4,396.36 = 739.74 : x
  2. Step 2: Convert to fraction form
    2,931.02/4,396.36 = 739.74/x
  3. Step 3: Cross multiply
    2,931.02x = 4,396.36 × 739.74
  4. Step 4: Simplify right side
    2,931.02x = 3,252,163.35
  5. Step 5: Solve for x
    x = 3,252,163.35/2,931.02
  6. Step 6: Final answer
    x = 1,109.57

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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.