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Finding the Fourth Proportional to 14,807.84, 20,420.68 and 9,695.73

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Solution

The fourth proportional to 14,807.84, 20,420.68 and 9,695.73 is: 13,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.84 : 20,420.68 = 9,695.73 : x
  2. Step 2: Convert to fraction form
    14,807.84/20,420.68 = 9,695.73/x
  3. Step 3: Cross multiply
    14,807.84x = 20,420.68 × 9,695.73
  4. Step 4: Simplify right side
    14,807.84x = 197,993,375.46
  5. Step 5: Solve for x
    x = 197,993,375.46/14,807.84
  6. Step 6: Final answer
    x = 13,370.85

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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.