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Finding the Fourth Proportional to 5,405.76, 7,466.40 and 3,840.64

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Solution

The fourth proportional to 5,405.76, 7,466.40 and 3,840.64 is: 5,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 7,466.40 = 3,840.64 : x
  2. Step 2: Convert to fraction form
    5,405.76/7,466.40 = 3,840.64/x
  3. Step 3: Cross multiply
    5,405.76x = 7,466.40 × 3,840.64
  4. Step 4: Simplify right side
    5,405.76x = 28,675,754.50
  5. Step 5: Solve for x
    x = 28,675,754.50/5,405.76
  6. Step 6: Final answer
    x = 5,304.67

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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.