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Finding the Fourth Proportional to 1,782.87, 2,460.33 and 1,037.09

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Solution

The fourth proportional to 1,782.87, 2,460.33 and 1,037.09 is: 1,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.87 : 2,460.33 = 1,037.09 : x
  2. Step 2: Convert to fraction form
    1,782.87/2,460.33 = 1,037.09/x
  3. Step 3: Cross multiply
    1,782.87x = 2,460.33 × 1,037.09
  4. Step 4: Simplify right side
    1,782.87x = 2,551,571.34
  5. Step 5: Solve for x
    x = 2,551,571.34/1,782.87
  6. Step 6: Final answer
    x = 1,431.16

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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.