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Finding the Fourth Proportional to 9,999.94, 13,795.28 and 6,464.28

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Solution

The fourth proportional to 9,999.94, 13,795.28 and 6,464.28 is: 8,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.94 : 13,795.28 = 6,464.28 : x
  2. Step 2: Convert to fraction form
    9,999.94/13,795.28 = 6,464.28/x
  3. Step 3: Cross multiply
    9,999.94x = 13,795.28 × 6,464.28
  4. Step 4: Simplify right side
    9,999.94x = 89,176,552.60
  5. Step 5: Solve for x
    x = 89,176,552.60/9,999.94
  6. Step 6: Final answer
    x = 8,917.71

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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.