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Finding the Fourth Proportional to 3,157.79, 4,736.11 and 1,077.63

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Solution

The fourth proportional to 3,157.79, 4,736.11 and 1,077.63 is: 1,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.79 : 4,736.11 = 1,077.63 : x
  2. Step 2: Convert to fraction form
    3,157.79/4,736.11 = 1,077.63/x
  3. Step 3: Cross multiply
    3,157.79x = 4,736.11 × 1,077.63
  4. Step 4: Simplify right side
    3,157.79x = 5,103,774.22
  5. Step 5: Solve for x
    x = 5,103,774.22/3,157.79
  6. Step 6: Final answer
    x = 1,616.25

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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.