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Finding the Fourth Proportional to 7,827, 10,801.30 and 5,839.32

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Solution

The fourth proportional to 7,827, 10,801.30 and 5,839.32 is: 8,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 10,801.30 = 5,839.32 : x
  2. Step 2: Convert to fraction form
    7,827/10,801.30 = 5,839.32/x
  3. Step 3: Cross multiply
    7,827x = 10,801.30 × 5,839.32
  4. Step 4: Simplify right side
    7,827x = 63,072,247.12
  5. Step 5: Solve for x
    x = 63,072,247.12/7,827
  6. Step 6: Final answer
    x = 8,058.29

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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.