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Finding the Fourth Proportional to 6,415.98, 8,851.67 and 3,762.42

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Solution

The fourth proportional to 6,415.98, 8,851.67 and 3,762.42 is: 5,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.98 : 8,851.67 = 3,762.42 : x
  2. Step 2: Convert to fraction form
    6,415.98/8,851.67 = 3,762.42/x
  3. Step 3: Cross multiply
    6,415.98x = 8,851.67 × 3,762.42
  4. Step 4: Simplify right side
    6,415.98x = 33,303,700.24
  5. Step 5: Solve for x
    x = 33,303,700.24/6,415.98
  6. Step 6: Final answer
    x = 5,190.74

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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.