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Finding the Fourth Proportional to 6,456.32, 9,684.48 and 4,400

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Solution

The fourth proportional to 6,456.32, 9,684.48 and 4,400 is: 6,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.32 : 9,684.48 = 4,400 : x
  2. Step 2: Convert to fraction form
    6,456.32/9,684.48 = 4,400/x
  3. Step 3: Cross multiply
    6,456.32x = 9,684.48 × 4,400
  4. Step 4: Simplify right side
    6,456.32x = 42,611,712
  5. Step 5: Solve for x
    x = 42,611,712/6,456.32
  6. Step 6: Final answer
    x = 6,600

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.