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Finding the Fourth Proportional to 23,157.78, 34,783.16 and 13,816.02

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Solution

The fourth proportional to 23,157.78, 34,783.16 and 13,816.02 is: 20,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.78 : 34,783.16 = 13,816.02 : x
  2. Step 2: Convert to fraction form
    23,157.78/34,783.16 = 13,816.02/x
  3. Step 3: Cross multiply
    23,157.78x = 34,783.16 × 13,816.02
  4. Step 4: Simplify right side
    23,157.78x = 480,564,868.76
  5. Step 5: Solve for x
    x = 480,564,868.76/23,157.78
  6. Step 6: Final answer
    x = 20,751.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.