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Finding the Fourth Proportional to 2,615.94, 3,923.10 and 1,156.32

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Solution

The fourth proportional to 2,615.94, 3,923.10 and 1,156.32 is: 1,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.94 : 3,923.10 = 1,156.32 : x
  2. Step 2: Convert to fraction form
    2,615.94/3,923.10 = 1,156.32/x
  3. Step 3: Cross multiply
    2,615.94x = 3,923.10 × 1,156.32
  4. Step 4: Simplify right side
    2,615.94x = 4,536,358.99
  5. Step 5: Solve for x
    x = 4,536,358.99/2,615.94
  6. Step 6: Final answer
    x = 1,734.12

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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.