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Finding the Fourth Proportional to 7,880, 10,875.48 and 4,568

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Solution

The fourth proportional to 7,880, 10,875.48 and 4,568 is: 6,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 10,875.48 = 4,568 : x
  2. Step 2: Convert to fraction form
    7,880/10,875.48 = 4,568/x
  3. Step 3: Cross multiply
    7,880x = 10,875.48 × 4,568
  4. Step 4: Simplify right side
    7,880x = 49,679,192.64
  5. Step 5: Solve for x
    x = 49,679,192.64/7,880
  6. Step 6: Final answer
    x = 6,304.47

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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.