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Finding the Fourth Proportional to 15,390, 23,088.38 and 8,729.64

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Solution

The fourth proportional to 15,390, 23,088.38 and 8,729.64 is: 13,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,390 : 23,088.38 = 8,729.64 : x
  2. Step 2: Convert to fraction form
    15,390/23,088.38 = 8,729.64/x
  3. Step 3: Cross multiply
    15,390x = 23,088.38 × 8,729.64
  4. Step 4: Simplify right side
    15,390x = 201,553,201.94
  5. Step 5: Solve for x
    x = 201,553,201.94/15,390
  6. Step 6: Final answer
    x = 13,096.37

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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.