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Finding the Fourth Proportional to 2,060, 3,090.08 and 521.04

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Solution

The fourth proportional to 2,060, 3,090.08 and 521.04 is: 781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060 : 3,090.08 = 521.04 : x
  2. Step 2: Convert to fraction form
    2,060/3,090.08 = 521.04/x
  3. Step 3: Cross multiply
    2,060x = 3,090.08 × 521.04
  4. Step 4: Simplify right side
    2,060x = 1,610,055.28
  5. Step 5: Solve for x
    x = 1,610,055.28/2,060
  6. Step 6: Final answer
    x = 781.58

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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.