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Finding the Fourth Proportional to 8,283.16, 12,415.32 and 4,328.32

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Solution

The fourth proportional to 8,283.16, 12,415.32 and 4,328.32 is: 6,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.16 : 12,415.32 = 4,328.32 : x
  2. Step 2: Convert to fraction form
    8,283.16/12,415.32 = 4,328.32/x
  3. Step 3: Cross multiply
    8,283.16x = 12,415.32 × 4,328.32
  4. Step 4: Simplify right side
    8,283.16x = 53,737,477.86
  5. Step 5: Solve for x
    x = 53,737,477.86/8,283.16
  6. Step 6: Final answer
    x = 6,487.56

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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.