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Finding the Fourth Proportional to 11,975.15, 16,533.15 and 7,728.32

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Solution

The fourth proportional to 11,975.15, 16,533.15 and 7,728.32 is: 10,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.15 : 16,533.15 = 7,728.32 : x
  2. Step 2: Convert to fraction form
    11,975.15/16,533.15 = 7,728.32/x
  3. Step 3: Cross multiply
    11,975.15x = 16,533.15 × 7,728.32
  4. Step 4: Simplify right side
    11,975.15x = 127,773,473.81
  5. Step 5: Solve for x
    x = 127,773,473.81/11,975.15
  6. Step 6: Final answer
    x = 10,669.89

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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.