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Finding the Fourth Proportional to 1,748.55, 2,623.38 and 824.07

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Solution

The fourth proportional to 1,748.55, 2,623.38 and 824.07 is: 1,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.55 : 2,623.38 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,748.55/2,623.38 = 824.07/x
  3. Step 3: Cross multiply
    1,748.55x = 2,623.38 × 824.07
  4. Step 4: Simplify right side
    1,748.55x = 2,161,855.32
  5. Step 5: Solve for x
    x = 2,161,855.32/1,748.55
  6. Step 6: Final answer
    x = 1,236.37

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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.