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Finding the Fourth Proportional to 1,480.01, 2,043.09 and 921.24

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Solution

The fourth proportional to 1,480.01, 2,043.09 and 921.24 is: 1,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.01 : 2,043.09 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,480.01/2,043.09 = 921.24/x
  3. Step 3: Cross multiply
    1,480.01x = 2,043.09 × 921.24
  4. Step 4: Simplify right side
    1,480.01x = 1,882,176.23
  5. Step 5: Solve for x
    x = 1,882,176.23/1,480.01
  6. Step 6: Final answer
    x = 1,271.74

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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.