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Finding the Fourth Proportional to 13,122.44, 18,108.72 and 7,154

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Solution

The fourth proportional to 13,122.44, 18,108.72 and 7,154 is: 9,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.44 : 18,108.72 = 7,154 : x
  2. Step 2: Convert to fraction form
    13,122.44/18,108.72 = 7,154/x
  3. Step 3: Cross multiply
    13,122.44x = 18,108.72 × 7,154
  4. Step 4: Simplify right side
    13,122.44x = 129,549,782.88
  5. Step 5: Solve for x
    x = 129,549,782.88/13,122.44
  6. Step 6: Final answer
    x = 9,872.39

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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.