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Finding the Fourth Proportional to 6,305.64, 8,703.60 and 4,209.75

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Solution

The fourth proportional to 6,305.64, 8,703.60 and 4,209.75 is: 5,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.64 : 8,703.60 = 4,209.75 : x
  2. Step 2: Convert to fraction form
    6,305.64/8,703.60 = 4,209.75/x
  3. Step 3: Cross multiply
    6,305.64x = 8,703.60 × 4,209.75
  4. Step 4: Simplify right side
    6,305.64x = 36,639,980.10
  5. Step 5: Solve for x
    x = 36,639,980.10/6,305.64
  6. Step 6: Final answer
    x = 5,810.67

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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.