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Finding the Fourth Proportional to 1,836.72, 2,756.52 and 971.28

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Solution

The fourth proportional to 1,836.72, 2,756.52 and 971.28 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.72 : 2,756.52 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,836.72/2,756.52 = 971.28/x
  3. Step 3: Cross multiply
    1,836.72x = 2,756.52 × 971.28
  4. Step 4: Simplify right side
    1,836.72x = 2,677,352.75
  5. Step 5: Solve for x
    x = 2,677,352.75/1,836.72
  6. Step 6: Final answer
    x = 1,457.68

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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.