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Finding the Fourth Proportional to 1,581.36, 2,373.45 and 851.55

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Solution

The fourth proportional to 1,581.36, 2,373.45 and 851.55 is: 1,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.36 : 2,373.45 = 851.55 : x
  2. Step 2: Convert to fraction form
    1,581.36/2,373.45 = 851.55/x
  3. Step 3: Cross multiply
    1,581.36x = 2,373.45 × 851.55
  4. Step 4: Simplify right side
    1,581.36x = 2,021,111.35
  5. Step 5: Solve for x
    x = 2,021,111.35/1,581.36
  6. Step 6: Final answer
    x = 1,278.08

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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.