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Finding the Fourth Proportional to 8,478.71, 12,707.87 and 3,137.63

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Solution

The fourth proportional to 8,478.71, 12,707.87 and 3,137.63 is: 4,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.71 : 12,707.87 = 3,137.63 : x
  2. Step 2: Convert to fraction form
    8,478.71/12,707.87 = 3,137.63/x
  3. Step 3: Cross multiply
    8,478.71x = 12,707.87 × 3,137.63
  4. Step 4: Simplify right side
    8,478.71x = 39,872,580.22
  5. Step 5: Solve for x
    x = 39,872,580.22/8,478.71
  6. Step 6: Final answer
    x = 4,702.67

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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.