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Finding the Fourth Proportional to 13,157.93, 18,158.01 and 7,189.70

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Solution

The fourth proportional to 13,157.93, 18,158.01 and 7,189.70 is: 9,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.93 : 18,158.01 = 7,189.70 : x
  2. Step 2: Convert to fraction form
    13,157.93/18,158.01 = 7,189.70/x
  3. Step 3: Cross multiply
    13,157.93x = 18,158.01 × 7,189.70
  4. Step 4: Simplify right side
    13,157.93x = 130,550,644.50
  5. Step 5: Solve for x
    x = 130,550,644.50/13,157.93
  6. Step 6: Final answer
    x = 9,921.82

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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.