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Finding the Fourth Proportional to 18,483.76, 25,507.92 and 10,100.08

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Solution

The fourth proportional to 18,483.76, 25,507.92 and 10,100.08 is: 13,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,483.76 : 25,507.92 = 10,100.08 : x
  2. Step 2: Convert to fraction form
    18,483.76/25,507.92 = 10,100.08/x
  3. Step 3: Cross multiply
    18,483.76x = 25,507.92 × 10,100.08
  4. Step 4: Simplify right side
    18,483.76x = 257,632,032.63
  5. Step 5: Solve for x
    x = 257,632,032.63/18,483.76
  6. Step 6: Final answer
    x = 13,938.29

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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.