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Finding the Fourth Proportional to 3,318.86, 4,976.58 and 978.57

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Solution

The fourth proportional to 3,318.86, 4,976.58 and 978.57 is: 1,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.86 : 4,976.58 = 978.57 : x
  2. Step 2: Convert to fraction form
    3,318.86/4,976.58 = 978.57/x
  3. Step 3: Cross multiply
    3,318.86x = 4,976.58 × 978.57
  4. Step 4: Simplify right side
    3,318.86x = 4,869,931.89
  5. Step 5: Solve for x
    x = 4,869,931.89/3,318.86
  6. Step 6: Final answer
    x = 1,467.35

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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.