Home / 7,827.88-11,681.12-6,997

Finding the Fourth Proportional to 7,827.88, 11,681.12 and 6,997

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Solution

The fourth proportional to 7,827.88, 11,681.12 and 6,997 is: 10,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.88 : 11,681.12 = 6,997 : x
  2. Step 2: Convert to fraction form
    7,827.88/11,681.12 = 6,997/x
  3. Step 3: Cross multiply
    7,827.88x = 11,681.12 × 6,997
  4. Step 4: Simplify right side
    7,827.88x = 81,732,796.64
  5. Step 5: Solve for x
    x = 81,732,796.64/7,827.88
  6. Step 6: Final answer
    x = 10,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.