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Finding the Fourth Proportional to 14,484.40, 21,739.64 and 7,563.76

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Solution

The fourth proportional to 14,484.40, 21,739.64 and 7,563.76 is: 11,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.40 : 21,739.64 = 7,563.76 : x
  2. Step 2: Convert to fraction form
    14,484.40/21,739.64 = 7,563.76/x
  3. Step 3: Cross multiply
    14,484.40x = 21,739.64 × 7,563.76
  4. Step 4: Simplify right side
    14,484.40x = 164,433,419.45
  5. Step 5: Solve for x
    x = 164,433,419.45/14,484.40
  6. Step 6: Final answer
    x = 11,352.45

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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.