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Finding the Fourth Proportional to 13,785.09, 19,023.19 and 7,652.58

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Solution

The fourth proportional to 13,785.09, 19,023.19 and 7,652.58 is: 10,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.09 : 19,023.19 = 7,652.58 : x
  2. Step 2: Convert to fraction form
    13,785.09/19,023.19 = 7,652.58/x
  3. Step 3: Cross multiply
    13,785.09x = 19,023.19 × 7,652.58
  4. Step 4: Simplify right side
    13,785.09x = 145,576,392.86
  5. Step 5: Solve for x
    x = 145,576,392.86/13,785.09
  6. Step 6: Final answer
    x = 10,560.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.