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Finding the Fourth Proportional to 4,974.89, 7,462.40 and 1,277.10

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Solution

The fourth proportional to 4,974.89, 7,462.40 and 1,277.10 is: 1,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.89 : 7,462.40 = 1,277.10 : x
  2. Step 2: Convert to fraction form
    4,974.89/7,462.40 = 1,277.10/x
  3. Step 3: Cross multiply
    4,974.89x = 7,462.40 × 1,277.10
  4. Step 4: Simplify right side
    4,974.89x = 9,530,224.65
  5. Step 5: Solve for x
    x = 9,530,224.65/4,974.89
  6. Step 6: Final answer
    x = 1,915.67

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1.5x scale

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.