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Finding the Fourth Proportional to 14,430.56, 19,914.56 and 8,462.72

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Solution

The fourth proportional to 14,430.56, 19,914.56 and 8,462.72 is: 11,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.56 : 19,914.56 = 8,462.72 : x
  2. Step 2: Convert to fraction form
    14,430.56/19,914.56 = 8,462.72/x
  3. Step 3: Cross multiply
    14,430.56x = 19,914.56 × 8,462.72
  4. Step 4: Simplify right side
    14,430.56x = 168,531,345.20
  5. Step 5: Solve for x
    x = 168,531,345.20/14,430.56
  6. Step 6: Final answer
    x = 11,678.78

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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.