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Finding the Fourth Proportional to 25,412, 38,117.64 and 15,419.12

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Solution

The fourth proportional to 25,412, 38,117.64 and 15,419.12 is: 23,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412 : 38,117.64 = 15,419.12 : x
  2. Step 2: Convert to fraction form
    25,412/38,117.64 = 15,419.12/x
  3. Step 3: Cross multiply
    25,412x = 38,117.64 × 15,419.12
  4. Step 4: Simplify right side
    25,412x = 587,740,465.28
  5. Step 5: Solve for x
    x = 587,740,465.28/25,412
  6. Step 6: Final answer
    x = 23,128.46

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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.