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Finding the Fourth Proportional to 3,802.55, 5,702.37 and 1,827.63

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Solution

The fourth proportional to 3,802.55, 5,702.37 and 1,827.63 is: 2,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.55 : 5,702.37 = 1,827.63 : x
  2. Step 2: Convert to fraction form
    3,802.55/5,702.37 = 1,827.63/x
  3. Step 3: Cross multiply
    3,802.55x = 5,702.37 × 1,827.63
  4. Step 4: Simplify right side
    3,802.55x = 10,421,822.48
  5. Step 5: Solve for x
    x = 10,421,822.48/3,802.55
  6. Step 6: Final answer
    x = 2,740.75

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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.