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Finding the Fourth Proportional to 1,953.57, 2,695.21 and 1,156.71

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Solution

The fourth proportional to 1,953.57, 2,695.21 and 1,156.71 is: 1,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.57 : 2,695.21 = 1,156.71 : x
  2. Step 2: Convert to fraction form
    1,953.57/2,695.21 = 1,156.71/x
  3. Step 3: Cross multiply
    1,953.57x = 2,695.21 × 1,156.71
  4. Step 4: Simplify right side
    1,953.57x = 3,117,576.36
  5. Step 5: Solve for x
    x = 3,117,576.36/1,953.57
  6. Step 6: Final answer
    x = 1,595.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.