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Finding the Fourth Proportional to 6,416.29, 8,859.48 and 4,921.84

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Solution

The fourth proportional to 6,416.29, 8,859.48 and 4,921.84 is: 6,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.29 : 8,859.48 = 4,921.84 : x
  2. Step 2: Convert to fraction form
    6,416.29/8,859.48 = 4,921.84/x
  3. Step 3: Cross multiply
    6,416.29x = 8,859.48 × 4,921.84
  4. Step 4: Simplify right side
    6,416.29x = 43,604,898.75
  5. Step 5: Solve for x
    x = 43,604,898.75/6,416.29
  6. Step 6: Final answer
    x = 6,795.97

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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.