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Finding the Fourth Proportional to 1,686.29, 2,327.10 and 978.19

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Solution

The fourth proportional to 1,686.29, 2,327.10 and 978.19 is: 1,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.29 : 2,327.10 = 978.19 : x
  2. Step 2: Convert to fraction form
    1,686.29/2,327.10 = 978.19/x
  3. Step 3: Cross multiply
    1,686.29x = 2,327.10 × 978.19
  4. Step 4: Simplify right side
    1,686.29x = 2,276,345.95
  5. Step 5: Solve for x
    x = 2,276,345.95/1,686.29
  6. Step 6: Final answer
    x = 1,349.92

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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.