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Finding the Fourth Proportional to 23,672.34, 35,509.41 and 7,878.78

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Solution

The fourth proportional to 23,672.34, 35,509.41 and 7,878.78 is: 11,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.34 : 35,509.41 = 7,878.78 : x
  2. Step 2: Convert to fraction form
    23,672.34/35,509.41 = 7,878.78/x
  3. Step 3: Cross multiply
    23,672.34x = 35,509.41 × 7,878.78
  4. Step 4: Simplify right side
    23,672.34x = 279,770,829.32
  5. Step 5: Solve for x
    x = 279,770,829.32/23,672.34
  6. Step 6: Final answer
    x = 11,818.47

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1.5x scale

Why These Related Problems?

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