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Finding the Fourth Proportional to 6,404.54, 8,842.30 and 4,909.64

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Solution

The fourth proportional to 6,404.54, 8,842.30 and 4,909.64 is: 6,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.54 : 8,842.30 = 4,909.64 : x
  2. Step 2: Convert to fraction form
    6,404.54/8,842.30 = 4,909.64/x
  3. Step 3: Cross multiply
    6,404.54x = 8,842.30 × 4,909.64
  4. Step 4: Simplify right side
    6,404.54x = 43,412,509.77
  5. Step 5: Solve for x
    x = 43,412,509.77/6,404.54
  6. Step 6: Final answer
    x = 6,778.40

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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.