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Finding the Fourth Proportional to 7,118.21, 9,820.31 and 4,464.65

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Solution

The fourth proportional to 7,118.21, 9,820.31 and 4,464.65 is: 6,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.21 : 9,820.31 = 4,464.65 : x
  2. Step 2: Convert to fraction form
    7,118.21/9,820.31 = 4,464.65/x
  3. Step 3: Cross multiply
    7,118.21x = 9,820.31 × 4,464.65
  4. Step 4: Simplify right side
    7,118.21x = 43,844,247.04
  5. Step 5: Solve for x
    x = 43,844,247.04/7,118.21
  6. Step 6: Final answer
    x = 6,159.45

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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.