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Finding the Fourth Proportional to 4,940.70, 7,411.10 and 1,477.95

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Solution

The fourth proportional to 4,940.70, 7,411.10 and 1,477.95 is: 2,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.70 : 7,411.10 = 1,477.95 : x
  2. Step 2: Convert to fraction form
    4,940.70/7,411.10 = 1,477.95/x
  3. Step 3: Cross multiply
    4,940.70x = 7,411.10 × 1,477.95
  4. Step 4: Simplify right side
    4,940.70x = 10,953,227.86
  5. Step 5: Solve for x
    x = 10,953,227.86/4,940.70
  6. Step 6: Final answer
    x = 2,216.94

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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.