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Finding the Fourth Proportional to 25,842.78, 35,657.01 and 18,756.90

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Solution

The fourth proportional to 25,842.78, 35,657.01 and 18,756.90 is: 25,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.78 : 35,657.01 = 18,756.90 : x
  2. Step 2: Convert to fraction form
    25,842.78/35,657.01 = 18,756.90/x
  3. Step 3: Cross multiply
    25,842.78x = 35,657.01 × 18,756.90
  4. Step 4: Simplify right side
    25,842.78x = 668,814,970.87
  5. Step 5: Solve for x
    x = 668,814,970.87/25,842.78
  6. Step 6: Final answer
    x = 25,880.15

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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.