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Finding the Fourth Proportional to 21,009, 31,518.62 and 6,417

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Solution

The fourth proportional to 21,009, 31,518.62 and 6,417 is: 9,627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009 : 31,518.62 = 6,417 : x
  2. Step 2: Convert to fraction form
    21,009/31,518.62 = 6,417/x
  3. Step 3: Cross multiply
    21,009x = 31,518.62 × 6,417
  4. Step 4: Simplify right side
    21,009x = 202,254,984.54
  5. Step 5: Solve for x
    x = 202,254,984.54/21,009
  6. Step 6: Final answer
    x = 9,627.06

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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.