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Finding the Fourth Proportional to 25,679, 35,440.26 and 14,501

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Solution

The fourth proportional to 25,679, 35,440.26 and 14,501 is: 20,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679 : 35,440.26 = 14,501 : x
  2. Step 2: Convert to fraction form
    25,679/35,440.26 = 14,501/x
  3. Step 3: Cross multiply
    25,679x = 35,440.26 × 14,501
  4. Step 4: Simplify right side
    25,679x = 513,919,210.26
  5. Step 5: Solve for x
    x = 513,919,210.26/25,679
  6. Step 6: Final answer
    x = 20,013.21

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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.