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Finding the Fourth Proportional to 1,698.72, 2,347.23 and 1,309.11

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Solution

The fourth proportional to 1,698.72, 2,347.23 and 1,309.11 is: 1,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.72 : 2,347.23 = 1,309.11 : x
  2. Step 2: Convert to fraction form
    1,698.72/2,347.23 = 1,309.11/x
  3. Step 3: Cross multiply
    1,698.72x = 2,347.23 × 1,309.11
  4. Step 4: Simplify right side
    1,698.72x = 3,072,782.27
  5. Step 5: Solve for x
    x = 3,072,782.27/1,698.72
  6. Step 6: Final answer
    x = 1,808.88

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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.