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Finding the Fourth Proportional to 1,415.20, 1,952.04 and 1,120

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Solution

The fourth proportional to 1,415.20, 1,952.04 and 1,120 is: 1,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.20 : 1,952.04 = 1,120 : x
  2. Step 2: Convert to fraction form
    1,415.20/1,952.04 = 1,120/x
  3. Step 3: Cross multiply
    1,415.20x = 1,952.04 × 1,120
  4. Step 4: Simplify right side
    1,415.20x = 2,186,284.80
  5. Step 5: Solve for x
    x = 2,186,284.80/1,415.20
  6. Step 6: Final answer
    x = 1,544.86

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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.