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Finding the Fourth Proportional to 11,412.16, 15,745.44 and 6,696.64

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Solution

The fourth proportional to 11,412.16, 15,745.44 and 6,696.64 is: 9,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.16 : 15,745.44 = 6,696.64 : x
  2. Step 2: Convert to fraction form
    11,412.16/15,745.44 = 6,696.64/x
  3. Step 3: Cross multiply
    11,412.16x = 15,745.44 × 6,696.64
  4. Step 4: Simplify right side
    11,412.16x = 105,441,543.32
  5. Step 5: Solve for x
    x = 105,441,543.32/11,412.16
  6. Step 6: Final answer
    x = 9,239.40

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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.