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Finding the Fourth Proportional to 2,782.85, 3,840 and 1,663.53

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Solution

The fourth proportional to 2,782.85, 3,840 and 1,663.53 is: 2,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.85 : 3,840 = 1,663.53 : x
  2. Step 2: Convert to fraction form
    2,782.85/3,840 = 1,663.53/x
  3. Step 3: Cross multiply
    2,782.85x = 3,840 × 1,663.53
  4. Step 4: Simplify right side
    2,782.85x = 6,387,955.20
  5. Step 5: Solve for x
    x = 6,387,955.20/2,782.85
  6. Step 6: Final answer
    x = 2,295.47

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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.