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Finding the Fourth Proportional to 8,465.36, 12,702.36 and 3,847.76

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Solution

The fourth proportional to 8,465.36, 12,702.36 and 3,847.76 is: 5,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.36 : 12,702.36 = 3,847.76 : x
  2. Step 2: Convert to fraction form
    8,465.36/12,702.36 = 3,847.76/x
  3. Step 3: Cross multiply
    8,465.36x = 12,702.36 × 3,847.76
  4. Step 4: Simplify right side
    8,465.36x = 48,875,632.71
  5. Step 5: Solve for x
    x = 48,875,632.71/8,465.36
  6. Step 6: Final answer
    x = 5,773.60

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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.