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Finding the Fourth Proportional to 25,714.44, 38,574 and 10,128.48

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Solution

The fourth proportional to 25,714.44, 38,574 and 10,128.48 is: 15,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.44 : 38,574 = 10,128.48 : x
  2. Step 2: Convert to fraction form
    25,714.44/38,574 = 10,128.48/x
  3. Step 3: Cross multiply
    25,714.44x = 38,574 × 10,128.48
  4. Step 4: Simplify right side
    25,714.44x = 390,695,987.52
  5. Step 5: Solve for x
    x = 390,695,987.52/25,714.44
  6. Step 6: Final answer
    x = 15,193.64

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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.