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Finding the Fourth Proportional to 8,257.57, 12,365.19 and 4,555.67

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Solution

The fourth proportional to 8,257.57, 12,365.19 and 4,555.67 is: 6,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.57 : 12,365.19 = 4,555.67 : x
  2. Step 2: Convert to fraction form
    8,257.57/12,365.19 = 4,555.67/x
  3. Step 3: Cross multiply
    8,257.57x = 12,365.19 × 4,555.67
  4. Step 4: Simplify right side
    8,257.57x = 56,331,663.30
  5. Step 5: Solve for x
    x = 56,331,663.30/8,257.57
  6. Step 6: Final answer
    x = 6,821.82

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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.