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Finding the Fourth Proportional to 7,231.28, 9,975.57 and 4,869.32

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Solution

The fourth proportional to 7,231.28, 9,975.57 and 4,869.32 is: 6,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.28 : 9,975.57 = 4,869.32 : x
  2. Step 2: Convert to fraction form
    7,231.28/9,975.57 = 4,869.32/x
  3. Step 3: Cross multiply
    7,231.28x = 9,975.57 × 4,869.32
  4. Step 4: Simplify right side
    7,231.28x = 48,574,242.51
  5. Step 5: Solve for x
    x = 48,574,242.51/7,231.28
  6. Step 6: Final answer
    x = 6,717.24

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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.