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Finding the Fourth Proportional to 25,864, 35,696.64 and 15,256.24

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Solution

The fourth proportional to 25,864, 35,696.64 and 15,256.24 is: 21,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 35,696.64 = 15,256.24 : x
  2. Step 2: Convert to fraction form
    25,864/35,696.64 = 15,256.24/x
  3. Step 3: Cross multiply
    25,864x = 35,696.64 × 15,256.24
  4. Step 4: Simplify right side
    25,864x = 544,596,507.03
  5. Step 5: Solve for x
    x = 544,596,507.03/25,864
  6. Step 6: Final answer
    x = 21,056.16

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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.