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Finding the Fourth Proportional to 13,980, 20,973.24 and 4,746

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Solution

The fourth proportional to 13,980, 20,973.24 and 4,746 is: 7,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980 : 20,973.24 = 4,746 : x
  2. Step 2: Convert to fraction form
    13,980/20,973.24 = 4,746/x
  3. Step 3: Cross multiply
    13,980x = 20,973.24 × 4,746
  4. Step 4: Simplify right side
    13,980x = 99,538,997.04
  5. Step 5: Solve for x
    x = 99,538,997.04/13,980
  6. Step 6: Final answer
    x = 7,120.10

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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.