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Finding the Fourth Proportional to 9,855.65, 14,766.46 and 6,920.21

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Solution

The fourth proportional to 9,855.65, 14,766.46 and 6,920.21 is: 10,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.65 : 14,766.46 = 6,920.21 : x
  2. Step 2: Convert to fraction form
    9,855.65/14,766.46 = 6,920.21/x
  3. Step 3: Cross multiply
    9,855.65x = 14,766.46 × 6,920.21
  4. Step 4: Simplify right side
    9,855.65x = 102,187,004.16
  5. Step 5: Solve for x
    x = 102,187,004.16/9,855.65
  6. Step 6: Final answer
    x = 10,368.37

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1.5x scale

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.