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Finding the Fourth Proportional to 2,573.64, 3,551.48 and 1,690.64

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Solution

The fourth proportional to 2,573.64, 3,551.48 and 1,690.64 is: 2,332.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.64 : 3,551.48 = 1,690.64 : x
  2. Step 2: Convert to fraction form
    2,573.64/3,551.48 = 1,690.64/x
  3. Step 3: Cross multiply
    2,573.64x = 3,551.48 × 1,690.64
  4. Step 4: Simplify right side
    2,573.64x = 6,004,274.15
  5. Step 5: Solve for x
    x = 6,004,274.15/2,573.64
  6. Step 6: Final answer
    x = 2,332.99

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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.