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Finding the Fourth Proportional to 3,888.99, 5,828.60 and 3,064

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Solution

The fourth proportional to 3,888.99, 5,828.60 and 3,064 is: 4,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.99 : 5,828.60 = 3,064 : x
  2. Step 2: Convert to fraction form
    3,888.99/5,828.60 = 3,064/x
  3. Step 3: Cross multiply
    3,888.99x = 5,828.60 × 3,064
  4. Step 4: Simplify right side
    3,888.99x = 17,858,830.40
  5. Step 5: Solve for x
    x = 17,858,830.40/3,888.99
  6. Step 6: Final answer
    x = 4,592.15

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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.