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Finding the Fourth Proportional to 7,257.52, 10,015.36 and 4,114.72

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Solution

The fourth proportional to 7,257.52, 10,015.36 and 4,114.72 is: 5,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.52 : 10,015.36 = 4,114.72 : x
  2. Step 2: Convert to fraction form
    7,257.52/10,015.36 = 4,114.72/x
  3. Step 3: Cross multiply
    7,257.52x = 10,015.36 × 4,114.72
  4. Step 4: Simplify right side
    7,257.52x = 41,210,402.10
  5. Step 5: Solve for x
    x = 41,210,402.10/7,257.52
  6. Step 6: Final answer
    x = 5,678.30

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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.