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Finding the Fourth Proportional to 2,953.42, 4,429.07 and 978.68

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Solution

The fourth proportional to 2,953.42, 4,429.07 and 978.68 is: 1,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.42 : 4,429.07 = 978.68 : x
  2. Step 2: Convert to fraction form
    2,953.42/4,429.07 = 978.68/x
  3. Step 3: Cross multiply
    2,953.42x = 4,429.07 × 978.68
  4. Step 4: Simplify right side
    2,953.42x = 4,334,648.41
  5. Step 5: Solve for x
    x = 4,334,648.41/2,953.42
  6. Step 6: Final answer
    x = 1,467.67

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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.