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Finding the Fourth Proportional to 15,647.65, 23,485.23 and 8,257.12

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Solution

The fourth proportional to 15,647.65, 23,485.23 and 8,257.12 is: 12,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.65 : 23,485.23 = 8,257.12 : x
  2. Step 2: Convert to fraction form
    15,647.65/23,485.23 = 8,257.12/x
  3. Step 3: Cross multiply
    15,647.65x = 23,485.23 × 8,257.12
  4. Step 4: Simplify right side
    15,647.65x = 193,920,303.62
  5. Step 5: Solve for x
    x = 193,920,303.62/15,647.65
  6. Step 6: Final answer
    x = 12,392.94

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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.