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Finding the Fourth Proportional to 3,131.85, 4,697.85 and 1,051.93

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Solution

The fourth proportional to 3,131.85, 4,697.85 and 1,051.93 is: 1,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.85 : 4,697.85 = 1,051.93 : x
  2. Step 2: Convert to fraction form
    3,131.85/4,697.85 = 1,051.93/x
  3. Step 3: Cross multiply
    3,131.85x = 4,697.85 × 1,051.93
  4. Step 4: Simplify right side
    3,131.85x = 4,941,785.86
  5. Step 5: Solve for x
    x = 4,941,785.86/3,131.85
  6. Step 6: Final answer
    x = 1,577.91

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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.