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Finding the Fourth Proportional to 1,765.47, 2,437.47 and 1,136.24

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Solution

The fourth proportional to 1,765.47, 2,437.47 and 1,136.24 is: 1,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.47 : 2,437.47 = 1,136.24 : x
  2. Step 2: Convert to fraction form
    1,765.47/2,437.47 = 1,136.24/x
  3. Step 3: Cross multiply
    1,765.47x = 2,437.47 × 1,136.24
  4. Step 4: Simplify right side
    1,765.47x = 2,769,538.73
  5. Step 5: Solve for x
    x = 2,769,538.73/1,765.47
  6. Step 6: Final answer
    x = 1,568.73

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Half scale
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Double scale
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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.