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Finding the Fourth Proportional to 1,400.40, 2,097.86 and 782.24

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Solution

The fourth proportional to 1,400.40, 2,097.86 and 782.24 is: 1,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.40 : 2,097.86 = 782.24 : x
  2. Step 2: Convert to fraction form
    1,400.40/2,097.86 = 782.24/x
  3. Step 3: Cross multiply
    1,400.40x = 2,097.86 × 782.24
  4. Step 4: Simplify right side
    1,400.40x = 1,641,030.01
  5. Step 5: Solve for x
    x = 1,641,030.01/1,400.40
  6. Step 6: Final answer
    x = 1,171.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.