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Finding the Fourth Proportional to 11,361.42, 15,681.09 and 6,646.86

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Solution

The fourth proportional to 11,361.42, 15,681.09 and 6,646.86 is: 9,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.42 : 15,681.09 = 6,646.86 : x
  2. Step 2: Convert to fraction form
    11,361.42/15,681.09 = 6,646.86/x
  3. Step 3: Cross multiply
    11,361.42x = 15,681.09 × 6,646.86
  4. Step 4: Simplify right side
    11,361.42x = 104,230,009.88
  5. Step 5: Solve for x
    x = 104,230,009.88/11,361.42
  6. Step 6: Final answer
    x = 9,174.03

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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.