Home / 1,147.80-1,583.16-1,109.70

Finding the Fourth Proportional to 1,147.80, 1,583.16 and 1,109.70

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Solution

The fourth proportional to 1,147.80, 1,583.16 and 1,109.70 is: 1,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.80 : 1,583.16 = 1,109.70 : x
  2. Step 2: Convert to fraction form
    1,147.80/1,583.16 = 1,109.70/x
  3. Step 3: Cross multiply
    1,147.80x = 1,583.16 × 1,109.70
  4. Step 4: Simplify right side
    1,147.80x = 1,756,832.65
  5. Step 5: Solve for x
    x = 1,756,832.65/1,147.80
  6. Step 6: Final answer
    x = 1,530.61

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1.5x scale

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.