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Finding the Fourth Proportional to 9,999.80, 13,802.39 and 6,220.81

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Solution

The fourth proportional to 9,999.80, 13,802.39 and 6,220.81 is: 8,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.80 : 13,802.39 = 6,220.81 : x
  2. Step 2: Convert to fraction form
    9,999.80/13,802.39 = 6,220.81/x
  3. Step 3: Cross multiply
    9,999.80x = 13,802.39 × 6,220.81
  4. Step 4: Simplify right side
    9,999.80x = 85,862,055.21
  5. Step 5: Solve for x
    x = 85,862,055.21/9,999.80
  6. Step 6: Final answer
    x = 8,586.38

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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.