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Finding the Fourth Proportional to 4,901.79, 7,354.05 and 1,982.14

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Solution

The fourth proportional to 4,901.79, 7,354.05 and 1,982.14 is: 2,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.79 : 7,354.05 = 1,982.14 : x
  2. Step 2: Convert to fraction form
    4,901.79/7,354.05 = 1,982.14/x
  3. Step 3: Cross multiply
    4,901.79x = 7,354.05 × 1,982.14
  4. Step 4: Simplify right side
    4,901.79x = 14,576,756.67
  5. Step 5: Solve for x
    x = 14,576,756.67/4,901.79
  6. Step 6: Final answer
    x = 2,973.76

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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.