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Finding the Fourth Proportional to 13,730.43, 18,950.01 and 8,695.11

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Solution

The fourth proportional to 13,730.43, 18,950.01 and 8,695.11 is: 12,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.43 : 18,950.01 = 8,695.11 : x
  2. Step 2: Convert to fraction form
    13,730.43/18,950.01 = 8,695.11/x
  3. Step 3: Cross multiply
    13,730.43x = 18,950.01 × 8,695.11
  4. Step 4: Simplify right side
    13,730.43x = 164,772,421.45
  5. Step 5: Solve for x
    x = 164,772,421.45/13,730.43
  6. Step 6: Final answer
    x = 12,000.53

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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.