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Finding the Fourth Proportional to 3,159.86, 4,730.85 and 1,770.71

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Solution

The fourth proportional to 3,159.86, 4,730.85 and 1,770.71 is: 2,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.86 : 4,730.85 = 1,770.71 : x
  2. Step 2: Convert to fraction form
    3,159.86/4,730.85 = 1,770.71/x
  3. Step 3: Cross multiply
    3,159.86x = 4,730.85 × 1,770.71
  4. Step 4: Simplify right side
    3,159.86x = 8,376,939.75
  5. Step 5: Solve for x
    x = 8,376,939.75/3,159.86
  6. Step 6: Final answer
    x = 2,651.05

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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.