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Finding the Fourth Proportional to 6,343.61, 8,758.16 and 4,075.87

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Solution

The fourth proportional to 6,343.61, 8,758.16 and 4,075.87 is: 5,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.61 : 8,758.16 = 4,075.87 : x
  2. Step 2: Convert to fraction form
    6,343.61/8,758.16 = 4,075.87/x
  3. Step 3: Cross multiply
    6,343.61x = 8,758.16 × 4,075.87
  4. Step 4: Simplify right side
    6,343.61x = 35,697,102.43
  5. Step 5: Solve for x
    x = 35,697,102.43/6,343.61
  6. Step 6: Final answer
    x = 5,627.25

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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.