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Finding the Fourth Proportional to 2,543.94, 3,809.43 and 1,242

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Solution

The fourth proportional to 2,543.94, 3,809.43 and 1,242 is: 1,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.94 : 3,809.43 = 1,242 : x
  2. Step 2: Convert to fraction form
    2,543.94/3,809.43 = 1,242/x
  3. Step 3: Cross multiply
    2,543.94x = 3,809.43 × 1,242
  4. Step 4: Simplify right side
    2,543.94x = 4,731,312.06
  5. Step 5: Solve for x
    x = 4,731,312.06/2,543.94
  6. Step 6: Final answer
    x = 1,859.84

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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.