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Finding the Fourth Proportional to 4,911.70, 7,359.45 and 4,182.70

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Solution

The fourth proportional to 4,911.70, 7,359.45 and 4,182.70 is: 6,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.70 : 7,359.45 = 4,182.70 : x
  2. Step 2: Convert to fraction form
    4,911.70/7,359.45 = 4,182.70/x
  3. Step 3: Cross multiply
    4,911.70x = 7,359.45 × 4,182.70
  4. Step 4: Simplify right side
    4,911.70x = 30,782,371.52
  5. Step 5: Solve for x
    x = 30,782,371.52/4,911.70
  6. Step 6: Final answer
    x = 6,267.15

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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.