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Finding the Fourth Proportional to 6,309.28, 8,706.86 and 4,075.30

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Solution

The fourth proportional to 6,309.28, 8,706.86 and 4,075.30 is: 5,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.28 : 8,706.86 = 4,075.30 : x
  2. Step 2: Convert to fraction form
    6,309.28/8,706.86 = 4,075.30/x
  3. Step 3: Cross multiply
    6,309.28x = 8,706.86 × 4,075.30
  4. Step 4: Simplify right side
    6,309.28x = 35,483,066.56
  5. Step 5: Solve for x
    x = 35,483,066.56/6,309.28
  6. Step 6: Final answer
    x = 5,623.95

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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.