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Finding the Fourth Proportional to 3,131.76, 4,700.52 and 1,670

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Solution

The fourth proportional to 3,131.76, 4,700.52 and 1,670 is: 2,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.76 : 4,700.52 = 1,670 : x
  2. Step 2: Convert to fraction form
    3,131.76/4,700.52 = 1,670/x
  3. Step 3: Cross multiply
    3,131.76x = 4,700.52 × 1,670
  4. Step 4: Simplify right side
    3,131.76x = 7,849,868.40
  5. Step 5: Solve for x
    x = 7,849,868.40/3,131.76
  6. Step 6: Final answer
    x = 2,506.54

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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.