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Finding the Fourth Proportional to 15,140, 20,896.09 and 10,026.51

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Solution

The fourth proportional to 15,140, 20,896.09 and 10,026.51 is: 13,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 20,896.09 = 10,026.51 : x
  2. Step 2: Convert to fraction form
    15,140/20,896.09 = 10,026.51/x
  3. Step 3: Cross multiply
    15,140x = 20,896.09 × 10,026.51
  4. Step 4: Simplify right side
    15,140x = 209,514,855.35
  5. Step 5: Solve for x
    x = 209,514,855.35/15,140
  6. Step 6: Final answer
    x = 13,838.50

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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.