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Finding the Fourth Proportional to 6,411, 8,847.32 and 3,616.50

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Solution

The fourth proportional to 6,411, 8,847.32 and 3,616.50 is: 4,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 8,847.32 = 3,616.50 : x
  2. Step 2: Convert to fraction form
    6,411/8,847.32 = 3,616.50/x
  3. Step 3: Cross multiply
    6,411x = 8,847.32 × 3,616.50
  4. Step 4: Simplify right side
    6,411x = 31,996,332.78
  5. Step 5: Solve for x
    x = 31,996,332.78/6,411
  6. Step 6: Final answer
    x = 4,990.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.