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Finding the Fourth Proportional to 10,390, 14,339.52 and 6,860.56

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Solution

The fourth proportional to 10,390, 14,339.52 and 6,860.56 is: 9,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390 : 14,339.52 = 6,860.56 : x
  2. Step 2: Convert to fraction form
    10,390/14,339.52 = 6,860.56/x
  3. Step 3: Cross multiply
    10,390x = 14,339.52 × 6,860.56
  4. Step 4: Simplify right side
    10,390x = 98,377,137.33
  5. Step 5: Solve for x
    x = 98,377,137.33/10,390
  6. Step 6: Final answer
    x = 9,468.44

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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.