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Finding the Fourth Proportional to 3,000.75, 4,499.10 and 1,538.70

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Solution

The fourth proportional to 3,000.75, 4,499.10 and 1,538.70 is: 2,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.75 : 4,499.10 = 1,538.70 : x
  2. Step 2: Convert to fraction form
    3,000.75/4,499.10 = 1,538.70/x
  3. Step 3: Cross multiply
    3,000.75x = 4,499.10 × 1,538.70
  4. Step 4: Simplify right side
    3,000.75x = 6,922,765.17
  5. Step 5: Solve for x
    x = 6,922,765.17/3,000.75
  6. Step 6: Final answer
    x = 2,307.01

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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.