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Finding the Fourth Proportional to 7,947.96, 10,971.27 and 5,303.07

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Solution

The fourth proportional to 7,947.96, 10,971.27 and 5,303.07 is: 7,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.96 : 10,971.27 = 5,303.07 : x
  2. Step 2: Convert to fraction form
    7,947.96/10,971.27 = 5,303.07/x
  3. Step 3: Cross multiply
    7,947.96x = 10,971.27 × 5,303.07
  4. Step 4: Simplify right side
    7,947.96x = 58,181,412.80
  5. Step 5: Solve for x
    x = 58,181,412.80/7,947.96
  6. Step 6: Final answer
    x = 7,320.30

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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.