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Finding the Fourth Proportional to 13,157.55, 18,157.11 and 7,189.24

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Solution

The fourth proportional to 13,157.55, 18,157.11 and 7,189.24 is: 9,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.55 : 18,157.11 = 7,189.24 : x
  2. Step 2: Convert to fraction form
    13,157.55/18,157.11 = 7,189.24/x
  3. Step 3: Cross multiply
    13,157.55x = 18,157.11 × 7,189.24
  4. Step 4: Simplify right side
    13,157.55x = 130,535,821.50
  5. Step 5: Solve for x
    x = 130,535,821.50/13,157.55
  6. Step 6: Final answer
    x = 9,920.98

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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.