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Finding the Fourth Proportional to 25,298, 34,911.60 and 14,120

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Solution

The fourth proportional to 25,298, 34,911.60 and 14,120 is: 19,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298 : 34,911.60 = 14,120 : x
  2. Step 2: Convert to fraction form
    25,298/34,911.60 = 14,120/x
  3. Step 3: Cross multiply
    25,298x = 34,911.60 × 14,120
  4. Step 4: Simplify right side
    25,298x = 492,951,792
  5. Step 5: Solve for x
    x = 492,951,792/25,298
  6. Step 6: Final answer
    x = 19,485.80

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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.