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Finding the Fourth Proportional to 4,056.66, 6,084.99 and 978.66

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Solution

The fourth proportional to 4,056.66, 6,084.99 and 978.66 is: 1,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.66 : 6,084.99 = 978.66 : x
  2. Step 2: Convert to fraction form
    4,056.66/6,084.99 = 978.66/x
  3. Step 3: Cross multiply
    4,056.66x = 6,084.99 × 978.66
  4. Step 4: Simplify right side
    4,056.66x = 5,955,136.31
  5. Step 5: Solve for x
    x = 5,955,136.31/4,056.66
  6. Step 6: Final answer
    x = 1,467.99

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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.