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Finding the Fourth Proportional to 1,748.55, 2,412.98 and 951.85

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Solution

The fourth proportional to 1,748.55, 2,412.98 and 951.85 is: 1,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.55 : 2,412.98 = 951.85 : x
  2. Step 2: Convert to fraction form
    1,748.55/2,412.98 = 951.85/x
  3. Step 3: Cross multiply
    1,748.55x = 2,412.98 × 951.85
  4. Step 4: Simplify right side
    1,748.55x = 2,296,784.22
  5. Step 5: Solve for x
    x = 2,296,784.22/1,748.55
  6. Step 6: Final answer
    x = 1,313.54

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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.