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Finding the Fourth Proportional to 1,686.48, 2,326.03 and 1,097.21

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Solution

The fourth proportional to 1,686.48, 2,326.03 and 1,097.21 is: 1,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.48 : 2,326.03 = 1,097.21 : x
  2. Step 2: Convert to fraction form
    1,686.48/2,326.03 = 1,097.21/x
  3. Step 3: Cross multiply
    1,686.48x = 2,326.03 × 1,097.21
  4. Step 4: Simplify right side
    1,686.48x = 2,552,129.00
  5. Step 5: Solve for x
    x = 2,552,129.00/1,686.48
  6. Step 6: Final answer
    x = 1,513.29

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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.