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Finding the Fourth Proportional to 4,170, 5,754.72 and 2,307.12

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Solution

The fourth proportional to 4,170, 5,754.72 and 2,307.12 is: 3,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170 : 5,754.72 = 2,307.12 : x
  2. Step 2: Convert to fraction form
    4,170/5,754.72 = 2,307.12/x
  3. Step 3: Cross multiply
    4,170x = 5,754.72 × 2,307.12
  4. Step 4: Simplify right side
    4,170x = 13,276,829.61
  5. Step 5: Solve for x
    x = 13,276,829.61/4,170
  6. Step 6: Final answer
    x = 3,183.89

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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.