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Finding the Fourth Proportional to 19,681, 29,521.50 and 5,089

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Solution

The fourth proportional to 19,681, 29,521.50 and 5,089 is: 7,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681 : 29,521.50 = 5,089 : x
  2. Step 2: Convert to fraction form
    19,681/29,521.50 = 5,089/x
  3. Step 3: Cross multiply
    19,681x = 29,521.50 × 5,089
  4. Step 4: Simplify right side
    19,681x = 150,234,913.50
  5. Step 5: Solve for x
    x = 150,234,913.50/19,681
  6. Step 6: Final answer
    x = 7,633.50

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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.