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Finding the Fourth Proportional to 2,159.19, 2,978.91 and 1,414.13

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Solution

The fourth proportional to 2,159.19, 2,978.91 and 1,414.13 is: 1,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.19 : 2,978.91 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    2,159.19/2,978.91 = 1,414.13/x
  3. Step 3: Cross multiply
    2,159.19x = 2,978.91 × 1,414.13
  4. Step 4: Simplify right side
    2,159.19x = 4,212,551.10
  5. Step 5: Solve for x
    x = 4,212,551.10/2,159.19
  6. Step 6: Final answer
    x = 1,950.99

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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.