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Finding the Fourth Proportional to 25,780, 35,576.40 and 14,004

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Solution

The fourth proportional to 25,780, 35,576.40 and 14,004 is: 19,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780 : 35,576.40 = 14,004 : x
  2. Step 2: Convert to fraction form
    25,780/35,576.40 = 14,004/x
  3. Step 3: Cross multiply
    25,780x = 35,576.40 × 14,004
  4. Step 4: Simplify right side
    25,780x = 498,211,905.60
  5. Step 5: Solve for x
    x = 498,211,905.60/25,780
  6. Step 6: Final answer
    x = 19,325.52

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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.