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Finding the Fourth Proportional to 6,461.37, 8,920.94 and 4,074.93

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Solution

The fourth proportional to 6,461.37, 8,920.94 and 4,074.93 is: 5,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.37 : 8,920.94 = 4,074.93 : x
  2. Step 2: Convert to fraction form
    6,461.37/8,920.94 = 4,074.93/x
  3. Step 3: Cross multiply
    6,461.37x = 8,920.94 × 4,074.93
  4. Step 4: Simplify right side
    6,461.37x = 36,352,185.66
  5. Step 5: Solve for x
    x = 36,352,185.66/6,461.37
  6. Step 6: Final answer
    x = 5,626.08

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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.