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Finding the Fourth Proportional to 4,756.70, 7,134.46 and 1,983.71

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Solution

The fourth proportional to 4,756.70, 7,134.46 and 1,983.71 is: 2,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.70 : 7,134.46 = 1,983.71 : x
  2. Step 2: Convert to fraction form
    4,756.70/7,134.46 = 1,983.71/x
  3. Step 3: Cross multiply
    4,756.70x = 7,134.46 × 1,983.71
  4. Step 4: Simplify right side
    4,756.70x = 14,152,699.65
  5. Step 5: Solve for x
    x = 14,152,699.65/4,756.70
  6. Step 6: Final answer
    x = 2,975.32

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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.