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Finding the Fourth Proportional to 25,847.60, 35,673.60 and 15,781.92

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Solution

The fourth proportional to 25,847.60, 35,673.60 and 15,781.92 is: 21,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.60 : 35,673.60 = 15,781.92 : x
  2. Step 2: Convert to fraction form
    25,847.60/35,673.60 = 15,781.92/x
  3. Step 3: Cross multiply
    25,847.60x = 35,673.60 × 15,781.92
  4. Step 4: Simplify right side
    25,847.60x = 562,997,901.31
  5. Step 5: Solve for x
    x = 562,997,901.31/25,847.60
  6. Step 6: Final answer
    x = 21,781.44

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1.5x scale

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.