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Finding the Fourth Proportional to 2,950.41, 4,426.40 and 870.47

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Solution

The fourth proportional to 2,950.41, 4,426.40 and 870.47 is: 1,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.41 : 4,426.40 = 870.47 : x
  2. Step 2: Convert to fraction form
    2,950.41/4,426.40 = 870.47/x
  3. Step 3: Cross multiply
    2,950.41x = 4,426.40 × 870.47
  4. Step 4: Simplify right side
    2,950.41x = 3,853,048.41
  5. Step 5: Solve for x
    x = 3,853,048.41/2,950.41
  6. Step 6: Final answer
    x = 1,305.94

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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.