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Finding the Fourth Proportional to 6,863.64, 9,471.84 and 4,210.99

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Solution

The fourth proportional to 6,863.64, 9,471.84 and 4,210.99 is: 5,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.64 : 9,471.84 = 4,210.99 : x
  2. Step 2: Convert to fraction form
    6,863.64/9,471.84 = 4,210.99/x
  3. Step 3: Cross multiply
    6,863.64x = 9,471.84 × 4,210.99
  4. Step 4: Simplify right side
    6,863.64x = 39,885,784.05
  5. Step 5: Solve for x
    x = 39,885,784.05/6,863.64
  6. Step 6: Final answer
    x = 5,811.17

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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.