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Finding the Fourth Proportional to 10,307, 15,427.20 and 5,369.60

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Solution

The fourth proportional to 10,307, 15,427.20 and 5,369.60 is: 8,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307 : 15,427.20 = 5,369.60 : x
  2. Step 2: Convert to fraction form
    10,307/15,427.20 = 5,369.60/x
  3. Step 3: Cross multiply
    10,307x = 15,427.20 × 5,369.60
  4. Step 4: Simplify right side
    10,307x = 82,837,893.12
  5. Step 5: Solve for x
    x = 82,837,893.12/10,307
  6. Step 6: Final answer
    x = 8,037.05

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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.