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Finding the Fourth Proportional to 19,782.18, 29,674.22 and 6,455.14

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Solution

The fourth proportional to 19,782.18, 29,674.22 and 6,455.14 is: 9,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.18 : 29,674.22 = 6,455.14 : x
  2. Step 2: Convert to fraction form
    19,782.18/29,674.22 = 6,455.14/x
  3. Step 3: Cross multiply
    19,782.18x = 29,674.22 × 6,455.14
  4. Step 4: Simplify right side
    19,782.18x = 191,551,244.49
  5. Step 5: Solve for x
    x = 191,551,244.49/19,782.18
  6. Step 6: Final answer
    x = 9,683.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.