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Finding the Fourth Proportional to 25,657.86, 35,410.32 and 15,583.98

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Solution

The fourth proportional to 25,657.86, 35,410.32 and 15,583.98 is: 21,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.86 : 35,410.32 = 15,583.98 : x
  2. Step 2: Convert to fraction form
    25,657.86/35,410.32 = 15,583.98/x
  3. Step 3: Cross multiply
    25,657.86x = 35,410.32 × 15,583.98
  4. Step 4: Simplify right side
    25,657.86x = 551,833,718.67
  5. Step 5: Solve for x
    x = 551,833,718.67/25,657.86
  6. Step 6: Final answer
    x = 21,507.39

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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.