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Finding the Fourth Proportional to 1,782.63, 2,672.09 and 1,001.49

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Solution

The fourth proportional to 1,782.63, 2,672.09 and 1,001.49 is: 1,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.63 : 2,672.09 = 1,001.49 : x
  2. Step 2: Convert to fraction form
    1,782.63/2,672.09 = 1,001.49/x
  3. Step 3: Cross multiply
    1,782.63x = 2,672.09 × 1,001.49
  4. Step 4: Simplify right side
    1,782.63x = 2,676,071.41
  5. Step 5: Solve for x
    x = 2,676,071.41/1,782.63
  6. Step 6: Final answer
    x = 1,501.19

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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.