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Finding the Fourth Proportional to 9,128.64, 13,693.80 and 4,199.64

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Solution

The fourth proportional to 9,128.64, 13,693.80 and 4,199.64 is: 6,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.64 : 13,693.80 = 4,199.64 : x
  2. Step 2: Convert to fraction form
    9,128.64/13,693.80 = 4,199.64/x
  3. Step 3: Cross multiply
    9,128.64x = 13,693.80 × 4,199.64
  4. Step 4: Simplify right side
    9,128.64x = 57,509,030.23
  5. Step 5: Solve for x
    x = 57,509,030.23/9,128.64
  6. Step 6: Final answer
    x = 6,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.