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Finding the Fourth Proportional to 1,578, 2,177.64 and 957.12

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Solution

The fourth proportional to 1,578, 2,177.64 and 957.12 is: 1,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578 : 2,177.64 = 957.12 : x
  2. Step 2: Convert to fraction form
    1,578/2,177.64 = 957.12/x
  3. Step 3: Cross multiply
    1,578x = 2,177.64 × 957.12
  4. Step 4: Simplify right side
    1,578x = 2,084,262.80
  5. Step 5: Solve for x
    x = 2,084,262.80/1,578
  6. Step 6: Final answer
    x = 1,320.83

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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.