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Finding the Fourth Proportional to 9,999.94, 13,802.58 and 6,220.96

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Solution

The fourth proportional to 9,999.94, 13,802.58 and 6,220.96 is: 8,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.94 : 13,802.58 = 6,220.96 : x
  2. Step 2: Convert to fraction form
    9,999.94/13,802.58 = 6,220.96/x
  3. Step 3: Cross multiply
    9,999.94x = 13,802.58 × 6,220.96
  4. Step 4: Simplify right side
    9,999.94x = 85,865,284.89
  5. Step 5: Solve for x
    x = 85,865,284.89/9,999.94
  6. Step 6: Final answer
    x = 8,586.58

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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.