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Finding the Fourth Proportional to 12,657.78, 17,467.79 and 7,353.63

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Solution

The fourth proportional to 12,657.78, 17,467.79 and 7,353.63 is: 10,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.78 : 17,467.79 = 7,353.63 : x
  2. Step 2: Convert to fraction form
    12,657.78/17,467.79 = 7,353.63/x
  3. Step 3: Cross multiply
    12,657.78x = 17,467.79 × 7,353.63
  4. Step 4: Simplify right side
    12,657.78x = 128,451,627.81
  5. Step 5: Solve for x
    x = 128,451,627.81/12,657.78
  6. Step 6: Final answer
    x = 10,148.04

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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.