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Finding the Fourth Proportional to 14,285.76, 19,714.32 and 7,998

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Solution

The fourth proportional to 14,285.76, 19,714.32 and 7,998 is: 11,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.76 : 19,714.32 = 7,998 : x
  2. Step 2: Convert to fraction form
    14,285.76/19,714.32 = 7,998/x
  3. Step 3: Cross multiply
    14,285.76x = 19,714.32 × 7,998
  4. Step 4: Simplify right side
    14,285.76x = 157,675,131.36
  5. Step 5: Solve for x
    x = 157,675,131.36/14,285.76
  6. Step 6: Final answer
    x = 11,037.22

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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.