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Finding the Fourth Proportional to 2,632.17, 3,947.77 and 877

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Solution

The fourth proportional to 2,632.17, 3,947.77 and 877 is: 1,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.17 : 3,947.77 = 877 : x
  2. Step 2: Convert to fraction form
    2,632.17/3,947.77 = 877/x
  3. Step 3: Cross multiply
    2,632.17x = 3,947.77 × 877
  4. Step 4: Simplify right side
    2,632.17x = 3,462,194.29
  5. Step 5: Solve for x
    x = 3,462,194.29/2,632.17
  6. Step 6: Final answer
    x = 1,315.34

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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.