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Finding the Fourth Proportional to 7,240.16, 9,991.28 and 4,756

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Solution

The fourth proportional to 7,240.16, 9,991.28 and 4,756 is: 6,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.16 : 9,991.28 = 4,756 : x
  2. Step 2: Convert to fraction form
    7,240.16/9,991.28 = 4,756/x
  3. Step 3: Cross multiply
    7,240.16x = 9,991.28 × 4,756
  4. Step 4: Simplify right side
    7,240.16x = 47,518,527.68
  5. Step 5: Solve for x
    x = 47,518,527.68/7,240.16
  6. Step 6: Final answer
    x = 6,563.19

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Why These Related Problems?

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