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Finding the Fourth Proportional to 1,666.52, 2,309.53 and 1,643.03

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Solution

The fourth proportional to 1,666.52, 2,309.53 and 1,643.03 is: 2,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.52 : 2,309.53 = 1,643.03 : x
  2. Step 2: Convert to fraction form
    1,666.52/2,309.53 = 1,643.03/x
  3. Step 3: Cross multiply
    1,666.52x = 2,309.53 × 1,643.03
  4. Step 4: Simplify right side
    1,666.52x = 3,794,627.08
  5. Step 5: Solve for x
    x = 3,794,627.08/1,666.52
  6. Step 6: Final answer
    x = 2,276.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.