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Finding the Fourth Proportional to 12,817, 19,225.52 and 3,583

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Solution

The fourth proportional to 12,817, 19,225.52 and 3,583 is: 5,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817 : 19,225.52 = 3,583 : x
  2. Step 2: Convert to fraction form
    12,817/19,225.52 = 3,583/x
  3. Step 3: Cross multiply
    12,817x = 19,225.52 × 3,583
  4. Step 4: Simplify right side
    12,817x = 68,885,038.16
  5. Step 5: Solve for x
    x = 68,885,038.16/12,817
  6. Step 6: Final answer
    x = 5,374.51

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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.