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Finding the Fourth Proportional to 8,521.35, 12,762.19 and 8,225.77

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Solution

The fourth proportional to 8,521.35, 12,762.19 and 8,225.77 is: 12,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.35 : 12,762.19 = 8,225.77 : x
  2. Step 2: Convert to fraction form
    8,521.35/12,762.19 = 8,225.77/x
  3. Step 3: Cross multiply
    8,521.35x = 12,762.19 × 8,225.77
  4. Step 4: Simplify right side
    8,521.35x = 104,978,770.75
  5. Step 5: Solve for x
    x = 104,978,770.75/8,521.35
  6. Step 6: Final answer
    x = 12,319.50

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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.