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Finding the Fourth Proportional to 1,853.47, 2,782.97 and 1,164.50

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Solution

The fourth proportional to 1,853.47, 2,782.97 and 1,164.50 is: 1,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.47 : 2,782.97 = 1,164.50 : x
  2. Step 2: Convert to fraction form
    1,853.47/2,782.97 = 1,164.50/x
  3. Step 3: Cross multiply
    1,853.47x = 2,782.97 × 1,164.50
  4. Step 4: Simplify right side
    1,853.47x = 3,240,768.57
  5. Step 5: Solve for x
    x = 3,240,768.57/1,853.47
  6. Step 6: Final answer
    x = 1,748.49

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Double scale
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1.5x scale

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.