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Finding the Fourth Proportional to 3,120, 4,674.86 and 2,798.48

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Solution

The fourth proportional to 3,120, 4,674.86 and 2,798.48 is: 4,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120 : 4,674.86 = 2,798.48 : x
  2. Step 2: Convert to fraction form
    3,120/4,674.86 = 2,798.48/x
  3. Step 3: Cross multiply
    3,120x = 4,674.86 × 2,798.48
  4. Step 4: Simplify right side
    3,120x = 13,082,502.21
  5. Step 5: Solve for x
    x = 13,082,502.21/3,120
  6. Step 6: Final answer
    x = 4,193.11

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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.