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Finding the Fourth Proportional to 6,407.45, 8,841.99 and 4,728.25

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Solution

The fourth proportional to 6,407.45, 8,841.99 and 4,728.25 is: 6,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.45 : 8,841.99 = 4,728.25 : x
  2. Step 2: Convert to fraction form
    6,407.45/8,841.99 = 4,728.25/x
  3. Step 3: Cross multiply
    6,407.45x = 8,841.99 × 4,728.25
  4. Step 4: Simplify right side
    6,407.45x = 41,807,139.22
  5. Step 5: Solve for x
    x = 41,807,139.22/6,407.45
  6. Step 6: Final answer
    x = 6,524.77

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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.