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Finding the Fourth Proportional to 14,709, 20,298.74 and 8,085

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Solution

The fourth proportional to 14,709, 20,298.74 and 8,085 is: 11,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709 : 20,298.74 = 8,085 : x
  2. Step 2: Convert to fraction form
    14,709/20,298.74 = 8,085/x
  3. Step 3: Cross multiply
    14,709x = 20,298.74 × 8,085
  4. Step 4: Simplify right side
    14,709x = 164,115,312.90
  5. Step 5: Solve for x
    x = 164,115,312.90/14,709
  6. Step 6: Final answer
    x = 11,157.48

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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.