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Finding the Fourth Proportional to 10,425, 14,386.50 and 6,009

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Solution

The fourth proportional to 10,425, 14,386.50 and 6,009 is: 8,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425 : 14,386.50 = 6,009 : x
  2. Step 2: Convert to fraction form
    10,425/14,386.50 = 6,009/x
  3. Step 3: Cross multiply
    10,425x = 14,386.50 × 6,009
  4. Step 4: Simplify right side
    10,425x = 86,448,478.50
  5. Step 5: Solve for x
    x = 86,448,478.50/10,425
  6. Step 6: Final answer
    x = 8,292.42

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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.