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Finding the Fourth Proportional to 6,383, 8,802.04 and 5,200.40

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Solution

The fourth proportional to 6,383, 8,802.04 and 5,200.40 is: 7,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383 : 8,802.04 = 5,200.40 : x
  2. Step 2: Convert to fraction form
    6,383/8,802.04 = 5,200.40/x
  3. Step 3: Cross multiply
    6,383x = 8,802.04 × 5,200.40
  4. Step 4: Simplify right side
    6,383x = 45,774,128.82
  5. Step 5: Solve for x
    x = 45,774,128.82/6,383
  6. Step 6: Final answer
    x = 7,171.26

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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.