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Finding the Fourth Proportional to 7,047.24, 9,725.64 and 3,903.36

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Solution

The fourth proportional to 7,047.24, 9,725.64 and 3,903.36 is: 5,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.24 : 9,725.64 = 3,903.36 : x
  2. Step 2: Convert to fraction form
    7,047.24/9,725.64 = 3,903.36/x
  3. Step 3: Cross multiply
    7,047.24x = 9,725.64 × 3,903.36
  4. Step 4: Simplify right side
    7,047.24x = 37,962,674.15
  5. Step 5: Solve for x
    x = 37,962,674.15/7,047.24
  6. Step 6: Final answer
    x = 5,386.89

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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.