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Finding the Fourth Proportional to 3,130.58, 4,698 and 1,670.78

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Solution

The fourth proportional to 3,130.58, 4,698 and 1,670.78 is: 2,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.58 : 4,698 = 1,670.78 : x
  2. Step 2: Convert to fraction form
    3,130.58/4,698 = 1,670.78/x
  3. Step 3: Cross multiply
    3,130.58x = 4,698 × 1,670.78
  4. Step 4: Simplify right side
    3,130.58x = 7,849,324.44
  5. Step 5: Solve for x
    x = 7,849,324.44/3,130.58
  6. Step 6: Final answer
    x = 2,507.31

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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.