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Finding the Fourth Proportional to 4,897.82, 7,347.97 and 2,123.82

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Solution

The fourth proportional to 4,897.82, 7,347.97 and 2,123.82 is: 3,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.82 : 7,347.97 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    4,897.82/7,347.97 = 2,123.82/x
  3. Step 3: Cross multiply
    4,897.82x = 7,347.97 × 2,123.82
  4. Step 4: Simplify right side
    4,897.82x = 15,605,756.35
  5. Step 5: Solve for x
    x = 15,605,756.35/4,897.82
  6. Step 6: Final answer
    x = 3,186.27

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1.5x scale

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.