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Finding the Fourth Proportional to 9,943.65, 13,722.01 and 5,406.22

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Solution

The fourth proportional to 9,943.65, 13,722.01 and 5,406.22 is: 7,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.65 : 13,722.01 = 5,406.22 : x
  2. Step 2: Convert to fraction form
    9,943.65/13,722.01 = 5,406.22/x
  3. Step 3: Cross multiply
    9,943.65x = 13,722.01 × 5,406.22
  4. Step 4: Simplify right side
    9,943.65x = 74,184,204.90
  5. Step 5: Solve for x
    x = 74,184,204.90/9,943.65
  6. Step 6: Final answer
    x = 7,460.46

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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.