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Finding the Fourth Proportional to 1,953.67, 2,696.10 and 1,157.02

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Solution

The fourth proportional to 1,953.67, 2,696.10 and 1,157.02 is: 1,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.67 : 2,696.10 = 1,157.02 : x
  2. Step 2: Convert to fraction form
    1,953.67/2,696.10 = 1,157.02/x
  3. Step 3: Cross multiply
    1,953.67x = 2,696.10 × 1,157.02
  4. Step 4: Simplify right side
    1,953.67x = 3,119,441.62
  5. Step 5: Solve for x
    x = 3,119,441.62/1,953.67
  6. Step 6: Final answer
    x = 1,596.71

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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.