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Finding the Fourth Proportional to 2,470.70, 3,409.88 and 1,422.77

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Solution

The fourth proportional to 2,470.70, 3,409.88 and 1,422.77 is: 1,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.70 : 3,409.88 = 1,422.77 : x
  2. Step 2: Convert to fraction form
    2,470.70/3,409.88 = 1,422.77/x
  3. Step 3: Cross multiply
    2,470.70x = 3,409.88 × 1,422.77
  4. Step 4: Simplify right side
    2,470.70x = 4,851,450.80
  5. Step 5: Solve for x
    x = 4,851,450.80/2,470.70
  6. Step 6: Final answer
    x = 1,963.60

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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.