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Finding the Fourth Proportional to 25,680, 35,438.40 and 13,904

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Solution

The fourth proportional to 25,680, 35,438.40 and 13,904 is: 19,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680 : 35,438.40 = 13,904 : x
  2. Step 2: Convert to fraction form
    25,680/35,438.40 = 13,904/x
  3. Step 3: Cross multiply
    25,680x = 35,438.40 × 13,904
  4. Step 4: Simplify right side
    25,680x = 492,735,513.60
  5. Step 5: Solve for x
    x = 492,735,513.60/25,680
  6. Step 6: Final answer
    x = 19,187.52

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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.