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Finding the Fourth Proportional to 7,247.84, 10,002.48 and 4,102.88

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Solution

The fourth proportional to 7,247.84, 10,002.48 and 4,102.88 is: 5,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.84 : 10,002.48 = 4,102.88 : x
  2. Step 2: Convert to fraction form
    7,247.84/10,002.48 = 4,102.88/x
  3. Step 3: Cross multiply
    7,247.84x = 10,002.48 × 4,102.88
  4. Step 4: Simplify right side
    7,247.84x = 41,038,975.14
  5. Step 5: Solve for x
    x = 41,038,975.14/7,247.84
  6. Step 6: Final answer
    x = 5,662.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.