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Finding the Fourth Proportional to 1,400.10, 1,932.12 and 840.84

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Solution

The fourth proportional to 1,400.10, 1,932.12 and 840.84 is: 1,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.10 : 1,932.12 = 840.84 : x
  2. Step 2: Convert to fraction form
    1,400.10/1,932.12 = 840.84/x
  3. Step 3: Cross multiply
    1,400.10x = 1,932.12 × 840.84
  4. Step 4: Simplify right side
    1,400.10x = 1,624,603.78
  5. Step 5: Solve for x
    x = 1,624,603.78/1,400.10
  6. Step 6: Final answer
    x = 1,160.35

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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.