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Finding the Fourth Proportional to 25,888.56, 35,727 and 15,287.28

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Solution

The fourth proportional to 25,888.56, 35,727 and 15,287.28 is: 21,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.56 : 35,727 = 15,287.28 : x
  2. Step 2: Convert to fraction form
    25,888.56/35,727 = 15,287.28/x
  3. Step 3: Cross multiply
    25,888.56x = 35,727 × 15,287.28
  4. Step 4: Simplify right side
    25,888.56x = 546,168,652.56
  5. Step 5: Solve for x
    x = 546,168,652.56/25,888.56
  6. Step 6: Final answer
    x = 21,096.91

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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.