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Finding the Fourth Proportional to 9,420.40, 13,000.74 and 5,441.68

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Solution

The fourth proportional to 9,420.40, 13,000.74 and 5,441.68 is: 7,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.40 : 13,000.74 = 5,441.68 : x
  2. Step 2: Convert to fraction form
    9,420.40/13,000.74 = 5,441.68/x
  3. Step 3: Cross multiply
    9,420.40x = 13,000.74 × 5,441.68
  4. Step 4: Simplify right side
    9,420.40x = 70,745,866.84
  5. Step 5: Solve for x
    x = 70,745,866.84/9,420.40
  6. Step 6: Final answer
    x = 7,509.86

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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.