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Finding the Fourth Proportional to 2,152.80, 2,970.90 and 1,208.80

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Solution

The fourth proportional to 2,152.80, 2,970.90 and 1,208.80 is: 1,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.80 : 2,970.90 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    2,152.80/2,970.90 = 1,208.80/x
  3. Step 3: Cross multiply
    2,152.80x = 2,970.90 × 1,208.80
  4. Step 4: Simplify right side
    2,152.80x = 3,591,223.92
  5. Step 5: Solve for x
    x = 3,591,223.92/2,152.80
  6. Step 6: Final answer
    x = 1,668.16

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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.