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Finding the Fourth Proportional to 6,730.05, 9,287.40 and 4,077.40

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Solution

The fourth proportional to 6,730.05, 9,287.40 and 4,077.40 is: 5,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.05 : 9,287.40 = 4,077.40 : x
  2. Step 2: Convert to fraction form
    6,730.05/9,287.40 = 4,077.40/x
  3. Step 3: Cross multiply
    6,730.05x = 9,287.40 × 4,077.40
  4. Step 4: Simplify right side
    6,730.05x = 37,868,444.76
  5. Step 5: Solve for x
    x = 37,868,444.76/6,730.05
  6. Step 6: Final answer
    x = 5,626.77

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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.