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Finding the Fourth Proportional to 12,620, 17,437.44 and 10,380

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Solution

The fourth proportional to 12,620, 17,437.44 and 10,380 is: 14,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620 : 17,437.44 = 10,380 : x
  2. Step 2: Convert to fraction form
    12,620/17,437.44 = 10,380/x
  3. Step 3: Cross multiply
    12,620x = 17,437.44 × 10,380
  4. Step 4: Simplify right side
    12,620x = 181,000,627.20
  5. Step 5: Solve for x
    x = 181,000,627.20/12,620
  6. Step 6: Final answer
    x = 14,342.36

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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.