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Finding the Fourth Proportional to 6,480, 8,942.40 and 3,536

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Solution

The fourth proportional to 6,480, 8,942.40 and 3,536 is: 4,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480 : 8,942.40 = 3,536 : x
  2. Step 2: Convert to fraction form
    6,480/8,942.40 = 3,536/x
  3. Step 3: Cross multiply
    6,480x = 8,942.40 × 3,536
  4. Step 4: Simplify right side
    6,480x = 31,620,326.40
  5. Step 5: Solve for x
    x = 31,620,326.40/6,480
  6. Step 6: Final answer
    x = 4,879.68

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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.