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Finding the Fourth Proportional to 14,802.10, 20,426.31 and 8,429.56

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Solution

The fourth proportional to 14,802.10, 20,426.31 and 8,429.56 is: 11,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.10 : 20,426.31 = 8,429.56 : x
  2. Step 2: Convert to fraction form
    14,802.10/20,426.31 = 8,429.56/x
  3. Step 3: Cross multiply
    14,802.10x = 20,426.31 × 8,429.56
  4. Step 4: Simplify right side
    14,802.10x = 172,184,805.72
  5. Step 5: Solve for x
    x = 172,184,805.72/14,802.10
  6. Step 6: Final answer
    x = 11,632.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.