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Finding the Fourth Proportional to 6,447.75, 8,897.90 and 3,653.25

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Solution

The fourth proportional to 6,447.75, 8,897.90 and 3,653.25 is: 5,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.75 : 8,897.90 = 3,653.25 : x
  2. Step 2: Convert to fraction form
    6,447.75/8,897.90 = 3,653.25/x
  3. Step 3: Cross multiply
    6,447.75x = 8,897.90 × 3,653.25
  4. Step 4: Simplify right side
    6,447.75x = 32,506,234.91
  5. Step 5: Solve for x
    x = 32,506,234.91/6,447.75
  6. Step 6: Final answer
    x = 5,041.49

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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.