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Finding the Fourth Proportional to 14,433.76, 19,920.42 and 8,146

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Solution

The fourth proportional to 14,433.76, 19,920.42 and 8,146 is: 11,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.76 : 19,920.42 = 8,146 : x
  2. Step 2: Convert to fraction form
    14,433.76/19,920.42 = 8,146/x
  3. Step 3: Cross multiply
    14,433.76x = 19,920.42 × 8,146
  4. Step 4: Simplify right side
    14,433.76x = 162,271,741.32
  5. Step 5: Solve for x
    x = 162,271,741.32/14,433.76
  6. Step 6: Final answer
    x = 11,242.51

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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.