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Finding the Fourth Proportional to 25,664, 35,416.32 and 13,888

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Solution

The fourth proportional to 25,664, 35,416.32 and 13,888 is: 19,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,664 : 35,416.32 = 13,888 : x
  2. Step 2: Convert to fraction form
    25,664/35,416.32 = 13,888/x
  3. Step 3: Cross multiply
    25,664x = 35,416.32 × 13,888
  4. Step 4: Simplify right side
    25,664x = 491,861,852.16
  5. Step 5: Solve for x
    x = 491,861,852.16/25,664
  6. Step 6: Final answer
    x = 19,165.44

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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.