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Finding the Fourth Proportional to 13,735.78, 18,953.13 and 9,025.90

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Solution

The fourth proportional to 13,735.78, 18,953.13 and 9,025.90 is: 12,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.78 : 18,953.13 = 9,025.90 : x
  2. Step 2: Convert to fraction form
    13,735.78/18,953.13 = 9,025.90/x
  3. Step 3: Cross multiply
    13,735.78x = 18,953.13 × 9,025.90
  4. Step 4: Simplify right side
    13,735.78x = 171,069,056.07
  5. Step 5: Solve for x
    x = 171,069,056.07/13,735.78
  6. Step 6: Final answer
    x = 12,454.27

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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.