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Finding the Fourth Proportional to 2,087.51, 3,129.44 and 788.13

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Solution

The fourth proportional to 2,087.51, 3,129.44 and 788.13 is: 1,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.51 : 3,129.44 = 788.13 : x
  2. Step 2: Convert to fraction form
    2,087.51/3,129.44 = 788.13/x
  3. Step 3: Cross multiply
    2,087.51x = 3,129.44 × 788.13
  4. Step 4: Simplify right side
    2,087.51x = 2,466,401.61
  5. Step 5: Solve for x
    x = 2,466,401.61/2,087.51
  6. Step 6: Final answer
    x = 1,181.51

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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.