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Finding the Fourth Proportional to 2,846.90, 4,270.11 and 972.63

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Solution

The fourth proportional to 2,846.90, 4,270.11 and 972.63 is: 1,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.90 : 4,270.11 = 972.63 : x
  2. Step 2: Convert to fraction form
    2,846.90/4,270.11 = 972.63/x
  3. Step 3: Cross multiply
    2,846.90x = 4,270.11 × 972.63
  4. Step 4: Simplify right side
    2,846.90x = 4,153,237.09
  5. Step 5: Solve for x
    x = 4,153,237.09/2,846.90
  6. Step 6: Final answer
    x = 1,458.87

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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.