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Finding the Fourth Proportional to 13,994, 20,994.24 and 4,760

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Solution

The fourth proportional to 13,994, 20,994.24 and 4,760 is: 7,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994 : 20,994.24 = 4,760 : x
  2. Step 2: Convert to fraction form
    13,994/20,994.24 = 4,760/x
  3. Step 3: Cross multiply
    13,994x = 20,994.24 × 4,760
  4. Step 4: Simplify right side
    13,994x = 99,932,582.40
  5. Step 5: Solve for x
    x = 99,932,582.40/13,994
  6. Step 6: Final answer
    x = 7,141.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.