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Finding the Fourth Proportional to 6,653.96, 9,180.46 and 4,000.40

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Solution

The fourth proportional to 6,653.96, 9,180.46 and 4,000.40 is: 5,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.96 : 9,180.46 = 4,000.40 : x
  2. Step 2: Convert to fraction form
    6,653.96/9,180.46 = 4,000.40/x
  3. Step 3: Cross multiply
    6,653.96x = 9,180.46 × 4,000.40
  4. Step 4: Simplify right side
    6,653.96x = 36,725,512.18
  5. Step 5: Solve for x
    x = 36,725,512.18/6,653.96
  6. Step 6: Final answer
    x = 5,519.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.