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Finding the Fourth Proportional to 11,999.34, 17,967.48 and 8,470.32

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Solution

The fourth proportional to 11,999.34, 17,967.48 and 8,470.32 is: 12,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.34 : 17,967.48 = 8,470.32 : x
  2. Step 2: Convert to fraction form
    11,999.34/17,967.48 = 8,470.32/x
  3. Step 3: Cross multiply
    11,999.34x = 17,967.48 × 8,470.32
  4. Step 4: Simplify right side
    11,999.34x = 152,190,305.19
  5. Step 5: Solve for x
    x = 152,190,305.19/11,999.34
  6. Step 6: Final answer
    x = 12,683.22

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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.