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Finding the Fourth Proportional to 3,316.96, 4,973.76 and 1,855.72

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Solution

The fourth proportional to 3,316.96, 4,973.76 and 1,855.72 is: 2,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.96 : 4,973.76 = 1,855.72 : x
  2. Step 2: Convert to fraction form
    3,316.96/4,973.76 = 1,855.72/x
  3. Step 3: Cross multiply
    3,316.96x = 4,973.76 × 1,855.72
  4. Step 4: Simplify right side
    3,316.96x = 9,229,905.91
  5. Step 5: Solve for x
    x = 9,229,905.91/3,316.96
  6. Step 6: Final answer
    x = 2,782.64

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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.