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Finding the Fourth Proportional to 3,059.19, 4,586.54 and 978.00

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Solution

The fourth proportional to 3,059.19, 4,586.54 and 978.00 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.19 : 4,586.54 = 978.00 : x
  2. Step 2: Convert to fraction form
    3,059.19/4,586.54 = 978.00/x
  3. Step 3: Cross multiply
    3,059.19x = 4,586.54 × 978.00
  4. Step 4: Simplify right side
    3,059.19x = 4,485,619.53
  5. Step 5: Solve for x
    x = 4,485,619.53/3,059.19
  6. Step 6: Final answer
    x = 1,466.28

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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.