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Finding the Fourth Proportional to 1,729.69, 2,387.07 and 1,031.06

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Solution

The fourth proportional to 1,729.69, 2,387.07 and 1,031.06 is: 1,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.69 : 2,387.07 = 1,031.06 : x
  2. Step 2: Convert to fraction form
    1,729.69/2,387.07 = 1,031.06/x
  3. Step 3: Cross multiply
    1,729.69x = 2,387.07 × 1,031.06
  4. Step 4: Simplify right side
    1,729.69x = 2,461,218.36
  5. Step 5: Solve for x
    x = 2,461,218.36/1,729.69
  6. Step 6: Final answer
    x = 1,422.93

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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.