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Finding the Fourth Proportional to 3,780.03, 5,670.04 and 1,006.70

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Solution

The fourth proportional to 3,780.03, 5,670.04 and 1,006.70 is: 1,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.03 : 5,670.04 = 1,006.70 : x
  2. Step 2: Convert to fraction form
    3,780.03/5,670.04 = 1,006.70/x
  3. Step 3: Cross multiply
    3,780.03x = 5,670.04 × 1,006.70
  4. Step 4: Simplify right side
    3,780.03x = 5,708,029.27
  5. Step 5: Solve for x
    x = 5,708,029.27/3,780.03
  6. Step 6: Final answer
    x = 1,510.05

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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.