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Finding the Fourth Proportional to 3,030.21, 4,545.27 and 978.21

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Solution

The fourth proportional to 3,030.21, 4,545.27 and 978.21 is: 1,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.21 : 4,545.27 = 978.21 : x
  2. Step 2: Convert to fraction form
    3,030.21/4,545.27 = 978.21/x
  3. Step 3: Cross multiply
    3,030.21x = 4,545.27 × 978.21
  4. Step 4: Simplify right side
    3,030.21x = 4,446,228.57
  5. Step 5: Solve for x
    x = 4,446,228.57/3,030.21
  6. Step 6: Final answer
    x = 1,467.30

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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.