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Finding the Fourth Proportional to 13,545.65, 20,300.02 and 8,282.50

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Solution

The fourth proportional to 13,545.65, 20,300.02 and 8,282.50 is: 12,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.65 : 20,300.02 = 8,282.50 : x
  2. Step 2: Convert to fraction form
    13,545.65/20,300.02 = 8,282.50/x
  3. Step 3: Cross multiply
    13,545.65x = 20,300.02 × 8,282.50
  4. Step 4: Simplify right side
    13,545.65x = 168,134,915.65
  5. Step 5: Solve for x
    x = 168,134,915.65/13,545.65
  6. Step 6: Final answer
    x = 12,412.47

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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.