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Finding the Fourth Proportional to 6,463.59, 9,728.19 and 4,828.80

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Solution

The fourth proportional to 6,463.59, 9,728.19 and 4,828.80 is: 7,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.59 : 9,728.19 = 4,828.80 : x
  2. Step 2: Convert to fraction form
    6,463.59/9,728.19 = 4,828.80/x
  3. Step 3: Cross multiply
    6,463.59x = 9,728.19 × 4,828.80
  4. Step 4: Simplify right side
    6,463.59x = 46,975,483.87
  5. Step 5: Solve for x
    x = 46,975,483.87/6,463.59
  6. Step 6: Final answer
    x = 7,267.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.