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Finding the Fourth Proportional to 2,950.81, 4,426.87 and 977.06

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Solution

The fourth proportional to 2,950.81, 4,426.87 and 977.06 is: 1,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.81 : 4,426.87 = 977.06 : x
  2. Step 2: Convert to fraction form
    2,950.81/4,426.87 = 977.06/x
  3. Step 3: Cross multiply
    2,950.81x = 4,426.87 × 977.06
  4. Step 4: Simplify right side
    2,950.81x = 4,325,313.29
  5. Step 5: Solve for x
    x = 4,325,313.29/2,950.81
  6. Step 6: Final answer
    x = 1,465.80

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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.