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Finding the Fourth Proportional to 3,557.86, 4,909.42 and 1,985.86

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Solution

The fourth proportional to 3,557.86, 4,909.42 and 1,985.86 is: 2,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.86 : 4,909.42 = 1,985.86 : x
  2. Step 2: Convert to fraction form
    3,557.86/4,909.42 = 1,985.86/x
  3. Step 3: Cross multiply
    3,557.86x = 4,909.42 × 1,985.86
  4. Step 4: Simplify right side
    3,557.86x = 9,749,420.80
  5. Step 5: Solve for x
    x = 9,749,420.80/3,557.86
  6. Step 6: Final answer
    x = 2,740.25

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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.