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Finding the Fourth Proportional to 15,720.05, 23,575.07 and 5,188.10

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Solution

The fourth proportional to 15,720.05, 23,575.07 and 5,188.10 is: 7,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.05 : 23,575.07 = 5,188.10 : x
  2. Step 2: Convert to fraction form
    15,720.05/23,575.07 = 5,188.10/x
  3. Step 3: Cross multiply
    15,720.05x = 23,575.07 × 5,188.10
  4. Step 4: Simplify right side
    15,720.05x = 122,309,676.85
  5. Step 5: Solve for x
    x = 122,309,676.85/15,720.05
  6. Step 6: Final answer
    x = 7,780.49

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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.