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Finding the Fourth Proportional to 3,030.63, 4,545.94 and 978.63

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Solution

The fourth proportional to 3,030.63, 4,545.94 and 978.63 is: 1,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.63 : 4,545.94 = 978.63 : x
  2. Step 2: Convert to fraction form
    3,030.63/4,545.94 = 978.63/x
  3. Step 3: Cross multiply
    3,030.63x = 4,545.94 × 978.63
  4. Step 4: Simplify right side
    3,030.63x = 4,448,793.26
  5. Step 5: Solve for x
    x = 4,448,793.26/3,030.63
  6. Step 6: Final answer
    x = 1,467.94

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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.