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Finding the Fourth Proportional to 14,856.76, 20,502.54 and 8,143

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Solution

The fourth proportional to 14,856.76, 20,502.54 and 8,143 is: 11,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.76 : 20,502.54 = 8,143 : x
  2. Step 2: Convert to fraction form
    14,856.76/20,502.54 = 8,143/x
  3. Step 3: Cross multiply
    14,856.76x = 20,502.54 × 8,143
  4. Step 4: Simplify right side
    14,856.76x = 166,952,183.22
  5. Step 5: Solve for x
    x = 166,952,183.22/14,856.76
  6. Step 6: Final answer
    x = 11,237.46

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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.