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Finding the Fourth Proportional to 2,357.64, 3,253.74 and 1,309.80

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Solution

The fourth proportional to 2,357.64, 3,253.74 and 1,309.80 is: 1,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.64 : 3,253.74 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    2,357.64/3,253.74 = 1,309.80/x
  3. Step 3: Cross multiply
    2,357.64x = 3,253.74 × 1,309.80
  4. Step 4: Simplify right side
    2,357.64x = 4,261,748.65
  5. Step 5: Solve for x
    x = 4,261,748.65/2,357.64
  6. Step 6: Final answer
    x = 1,807.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.