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Finding the Fourth Proportional to 14,284.76, 19,712.94 and 7,997

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Solution

The fourth proportional to 14,284.76, 19,712.94 and 7,997 is: 11,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.76 : 19,712.94 = 7,997 : x
  2. Step 2: Convert to fraction form
    14,284.76/19,712.94 = 7,997/x
  3. Step 3: Cross multiply
    14,284.76x = 19,712.94 × 7,997
  4. Step 4: Simplify right side
    14,284.76x = 157,644,381.18
  5. Step 5: Solve for x
    x = 157,644,381.18/14,284.76
  6. Step 6: Final answer
    x = 11,035.84

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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.