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Finding the Fourth Proportional to 2,086.98, 3,130.48 and 606.24

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Solution

The fourth proportional to 2,086.98, 3,130.48 and 606.24 is: 909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.98 : 3,130.48 = 606.24 : x
  2. Step 2: Convert to fraction form
    2,086.98/3,130.48 = 606.24/x
  3. Step 3: Cross multiply
    2,086.98x = 3,130.48 × 606.24
  4. Step 4: Simplify right side
    2,086.98x = 1,897,822.20
  5. Step 5: Solve for x
    x = 1,897,822.20/2,086.98
  6. Step 6: Final answer
    x = 909.36

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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.