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Finding the Fourth Proportional to 6,458.85, 8,911.83 and 4,224

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Solution

The fourth proportional to 6,458.85, 8,911.83 and 4,224 is: 5,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.85 : 8,911.83 = 4,224 : x
  2. Step 2: Convert to fraction form
    6,458.85/8,911.83 = 4,224/x
  3. Step 3: Cross multiply
    6,458.85x = 8,911.83 × 4,224
  4. Step 4: Simplify right side
    6,458.85x = 37,643,569.92
  5. Step 5: Solve for x
    x = 37,643,569.92/6,458.85
  6. Step 6: Final answer
    x = 5,828.22

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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.