Home / 1,542.02-2,127.80-878.80

Finding the Fourth Proportional to 1,542.02, 2,127.80 and 878.80

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Solution

The fourth proportional to 1,542.02, 2,127.80 and 878.80 is: 1,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,127.80 = 878.80 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,127.80 = 878.80/x
  3. Step 3: Cross multiply
    1,542.02x = 2,127.80 × 878.80
  4. Step 4: Simplify right side
    1,542.02x = 1,869,910.64
  5. Step 5: Solve for x
    x = 1,869,910.64/1,542.02
  6. Step 6: Final answer
    x = 1,212.64

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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.