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Finding the Fourth Proportional to 8,157, 11,256.72 and 4,431

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Solution

The fourth proportional to 8,157, 11,256.72 and 4,431 is: 6,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 11,256.72 = 4,431 : x
  2. Step 2: Convert to fraction form
    8,157/11,256.72 = 4,431/x
  3. Step 3: Cross multiply
    8,157x = 11,256.72 × 4,431
  4. Step 4: Simplify right side
    8,157x = 49,878,526.32
  5. Step 5: Solve for x
    x = 49,878,526.32/8,157
  6. Step 6: Final answer
    x = 6,114.81

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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.