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Finding the Fourth Proportional to 7,257, 10,015.89 and 4,115.01

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Solution

The fourth proportional to 7,257, 10,015.89 and 4,115.01 is: 5,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 10,015.89 = 4,115.01 : x
  2. Step 2: Convert to fraction form
    7,257/10,015.89 = 4,115.01/x
  3. Step 3: Cross multiply
    7,257x = 10,015.89 × 4,115.01
  4. Step 4: Simplify right side
    7,257x = 41,215,487.51
  5. Step 5: Solve for x
    x = 41,215,487.51/7,257
  6. Step 6: Final answer
    x = 5,679.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.