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Finding the Fourth Proportional to 9,923.76, 14,892.84 and 7,999.20

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Solution

The fourth proportional to 9,923.76, 14,892.84 and 7,999.20 is: 12,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.76 : 14,892.84 = 7,999.20 : x
  2. Step 2: Convert to fraction form
    9,923.76/14,892.84 = 7,999.20/x
  3. Step 3: Cross multiply
    9,923.76x = 14,892.84 × 7,999.20
  4. Step 4: Simplify right side
    9,923.76x = 119,130,805.73
  5. Step 5: Solve for x
    x = 119,130,805.73/9,923.76
  6. Step 6: Final answer
    x = 12,004.60

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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.