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Finding the Fourth Proportional to 4,928.76, 7,389.06 and 4,002.06

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Solution

The fourth proportional to 4,928.76, 7,389.06 and 4,002.06 is: 5,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.76 : 7,389.06 = 4,002.06 : x
  2. Step 2: Convert to fraction form
    4,928.76/7,389.06 = 4,002.06/x
  3. Step 3: Cross multiply
    4,928.76x = 7,389.06 × 4,002.06
  4. Step 4: Simplify right side
    4,928.76x = 29,571,461.46
  5. Step 5: Solve for x
    x = 29,571,461.46/4,928.76
  6. Step 6: Final answer
    x = 5,999.78

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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.