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Finding the Fourth Proportional to 9,999.10, 13,800.68 and 5,753.01

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Solution

The fourth proportional to 9,999.10, 13,800.68 and 5,753.01 is: 7,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.10 : 13,800.68 = 5,753.01 : x
  2. Step 2: Convert to fraction form
    9,999.10/13,800.68 = 5,753.01/x
  3. Step 3: Cross multiply
    9,999.10x = 13,800.68 × 5,753.01
  4. Step 4: Simplify right side
    9,999.10x = 79,395,450.05
  5. Step 5: Solve for x
    x = 79,395,450.05/9,999.10
  6. Step 6: Final answer
    x = 7,940.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.