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Finding the Fourth Proportional to 6,412.16, 8,848.80 and 3,617.60

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Solution

The fourth proportional to 6,412.16, 8,848.80 and 3,617.60 is: 4,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.16 : 8,848.80 = 3,617.60 : x
  2. Step 2: Convert to fraction form
    6,412.16/8,848.80 = 3,617.60/x
  3. Step 3: Cross multiply
    6,412.16x = 8,848.80 × 3,617.60
  4. Step 4: Simplify right side
    6,412.16x = 32,011,418.88
  5. Step 5: Solve for x
    x = 32,011,418.88/6,412.16
  6. Step 6: Final answer
    x = 4,992.30

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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.