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Finding the Fourth Proportional to 1,292.80, 1,935.36 and 1,164.80

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Solution

The fourth proportional to 1,292.80, 1,935.36 and 1,164.80 is: 1,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.80 : 1,935.36 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,292.80/1,935.36 = 1,164.80/x
  3. Step 3: Cross multiply
    1,292.80x = 1,935.36 × 1,164.80
  4. Step 4: Simplify right side
    1,292.80x = 2,254,307.33
  5. Step 5: Solve for x
    x = 2,254,307.33/1,292.80
  6. Step 6: Final answer
    x = 1,743.74

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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.