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Finding the Fourth Proportional to 14,862, 20,509.26 and 8,488.92

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Solution

The fourth proportional to 14,862, 20,509.26 and 8,488.92 is: 11,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862 : 20,509.26 = 8,488.92 : x
  2. Step 2: Convert to fraction form
    14,862/20,509.26 = 8,488.92/x
  3. Step 3: Cross multiply
    14,862x = 20,509.26 × 8,488.92
  4. Step 4: Simplify right side
    14,862x = 174,101,467.40
  5. Step 5: Solve for x
    x = 174,101,467.40/14,862
  6. Step 6: Final answer
    x = 11,714.54

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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.