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Finding the Fourth Proportional to 4,986.97, 7,478.16 and 1,475.72

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Solution

The fourth proportional to 4,986.97, 7,478.16 and 1,475.72 is: 2,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.97 : 7,478.16 = 1,475.72 : x
  2. Step 2: Convert to fraction form
    4,986.97/7,478.16 = 1,475.72/x
  3. Step 3: Cross multiply
    4,986.97x = 7,478.16 × 1,475.72
  4. Step 4: Simplify right side
    4,986.97x = 11,035,688.97
  5. Step 5: Solve for x
    x = 11,035,688.97/4,986.97
  6. Step 6: Final answer
    x = 2,212.91

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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.