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Finding the Fourth Proportional to 3,157.86, 4,736.81 and 1,509.41

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Solution

The fourth proportional to 3,157.86, 4,736.81 and 1,509.41 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.86 : 4,736.81 = 1,509.41 : x
  2. Step 2: Convert to fraction form
    3,157.86/4,736.81 = 1,509.41/x
  3. Step 3: Cross multiply
    3,157.86x = 4,736.81 × 1,509.41
  4. Step 4: Simplify right side
    3,157.86x = 7,149,804.00
  5. Step 5: Solve for x
    x = 7,149,804.00/3,157.86
  6. Step 6: Final answer
    x = 2,264.13

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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.