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Finding the Fourth Proportional to 2,985.18, 4,477.97 and 793.86

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Solution

The fourth proportional to 2,985.18, 4,477.97 and 793.86 is: 1,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.18 : 4,477.97 = 793.86 : x
  2. Step 2: Convert to fraction form
    2,985.18/4,477.97 = 793.86/x
  3. Step 3: Cross multiply
    2,985.18x = 4,477.97 × 793.86
  4. Step 4: Simplify right side
    2,985.18x = 3,554,881.26
  5. Step 5: Solve for x
    x = 3,554,881.26/2,985.18
  6. Step 6: Final answer
    x = 1,190.84

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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.