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Finding the Fourth Proportional to 19,690.54, 29,538.76 and 6,359.08

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Solution

The fourth proportional to 19,690.54, 29,538.76 and 6,359.08 is: 9,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.54 : 29,538.76 = 6,359.08 : x
  2. Step 2: Convert to fraction form
    19,690.54/29,538.76 = 6,359.08/x
  3. Step 3: Cross multiply
    19,690.54x = 29,538.76 × 6,359.08
  4. Step 4: Simplify right side
    19,690.54x = 187,839,337.94
  5. Step 5: Solve for x
    x = 187,839,337.94/19,690.54
  6. Step 6: Final answer
    x = 9,539.57

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Why These Related Problems?

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