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Finding the Fourth Proportional to 18,688.32, 25,781.76 and 11,232

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Solution

The fourth proportional to 18,688.32, 25,781.76 and 11,232 is: 15,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688.32 : 25,781.76 = 11,232 : x
  2. Step 2: Convert to fraction form
    18,688.32/25,781.76 = 11,232/x
  3. Step 3: Cross multiply
    18,688.32x = 25,781.76 × 11,232
  4. Step 4: Simplify right side
    18,688.32x = 289,580,728.32
  5. Step 5: Solve for x
    x = 289,580,728.32/18,688.32
  6. Step 6: Final answer
    x = 15,495.28

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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.