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Finding the Fourth Proportional to 14,004, 21,009.60 and 5,239.02

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Solution

The fourth proportional to 14,004, 21,009.60 and 5,239.02 is: 7,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 21,009.60 = 5,239.02 : x
  2. Step 2: Convert to fraction form
    14,004/21,009.60 = 5,239.02/x
  3. Step 3: Cross multiply
    14,004x = 21,009.60 × 5,239.02
  4. Step 4: Simplify right side
    14,004x = 110,069,714.59
  5. Step 5: Solve for x
    x = 110,069,714.59/14,004
  6. Step 6: Final answer
    x = 7,859.88

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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.