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Finding the Fourth Proportional to 6,314.16, 8,715 and 4,075.44

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Solution

The fourth proportional to 6,314.16, 8,715 and 4,075.44 is: 5,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.16 : 8,715 = 4,075.44 : x
  2. Step 2: Convert to fraction form
    6,314.16/8,715 = 4,075.44/x
  3. Step 3: Cross multiply
    6,314.16x = 8,715 × 4,075.44
  4. Step 4: Simplify right side
    6,314.16x = 35,517,459.60
  5. Step 5: Solve for x
    x = 35,517,459.60/6,314.16
  6. Step 6: Final answer
    x = 5,625.05

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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.