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Finding the Fourth Proportional to 1,823.66, 2,735.48 and 782.98

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Solution

The fourth proportional to 1,823.66, 2,735.48 and 782.98 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.66 : 2,735.48 = 782.98 : x
  2. Step 2: Convert to fraction form
    1,823.66/2,735.48 = 782.98/x
  3. Step 3: Cross multiply
    1,823.66x = 2,735.48 × 782.98
  4. Step 4: Simplify right side
    1,823.66x = 2,141,829.05
  5. Step 5: Solve for x
    x = 2,141,829.05/1,823.66
  6. Step 6: Final answer
    x = 1,174.47

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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.