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Finding the Fourth Proportional to 5,999.72, 8,970 and 5,085.50

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Solution

The fourth proportional to 5,999.72, 8,970 and 5,085.50 is: 7,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.72 : 8,970 = 5,085.50 : x
  2. Step 2: Convert to fraction form
    5,999.72/8,970 = 5,085.50/x
  3. Step 3: Cross multiply
    5,999.72x = 8,970 × 5,085.50
  4. Step 4: Simplify right side
    5,999.72x = 45,616,935
  5. Step 5: Solve for x
    x = 45,616,935/5,999.72
  6. Step 6: Final answer
    x = 7,603.18

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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.