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Finding the Fourth Proportional to 6,945, 10,416.74 and 1,750.88

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Solution

The fourth proportional to 6,945, 10,416.74 and 1,750.88 is: 2,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945 : 10,416.74 = 1,750.88 : x
  2. Step 2: Convert to fraction form
    6,945/10,416.74 = 1,750.88/x
  3. Step 3: Cross multiply
    6,945x = 10,416.74 × 1,750.88
  4. Step 4: Simplify right side
    6,945x = 18,238,400.89
  5. Step 5: Solve for x
    x = 18,238,400.89/6,945
  6. Step 6: Final answer
    x = 2,626.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.