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Finding the Fourth Proportional to 7,257.72, 10,018.71 and 4,903.05

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Solution

The fourth proportional to 7,257.72, 10,018.71 and 4,903.05 is: 6,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.72 : 10,018.71 = 4,903.05 : x
  2. Step 2: Convert to fraction form
    7,257.72/10,018.71 = 4,903.05/x
  3. Step 3: Cross multiply
    7,257.72x = 10,018.71 × 4,903.05
  4. Step 4: Simplify right side
    7,257.72x = 49,122,231.07
  5. Step 5: Solve for x
    x = 49,122,231.07/7,257.72
  6. Step 6: Final answer
    x = 6,768.27

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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.