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Finding the Fourth Proportional to 15,478.55, 23,221.74 and 7,164.55

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Solution

The fourth proportional to 15,478.55, 23,221.74 and 7,164.55 is: 10,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.55 : 23,221.74 = 7,164.55 : x
  2. Step 2: Convert to fraction form
    15,478.55/23,221.74 = 7,164.55/x
  3. Step 3: Cross multiply
    15,478.55x = 23,221.74 × 7,164.55
  4. Step 4: Simplify right side
    15,478.55x = 166,373,201.21
  5. Step 5: Solve for x
    x = 166,373,201.21/15,478.55
  6. Step 6: Final answer
    x = 10,748.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.