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Finding the Fourth Proportional to 7,897.60, 11,830.80 and 4,004.80

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Solution

The fourth proportional to 7,897.60, 11,830.80 and 4,004.80 is: 5,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.60 : 11,830.80 = 4,004.80 : x
  2. Step 2: Convert to fraction form
    7,897.60/11,830.80 = 4,004.80/x
  3. Step 3: Cross multiply
    7,897.60x = 11,830.80 × 4,004.80
  4. Step 4: Simplify right side
    7,897.60x = 47,379,987.84
  5. Step 5: Solve for x
    x = 47,379,987.84/7,897.60
  6. Step 6: Final answer
    x = 5,999.29

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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.