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Finding the Fourth Proportional to 1,800.83, 2,478.25 and 1,750.07

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Solution

The fourth proportional to 1,800.83, 2,478.25 and 1,750.07 is: 2,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.83 : 2,478.25 = 1,750.07 : x
  2. Step 2: Convert to fraction form
    1,800.83/2,478.25 = 1,750.07/x
  3. Step 3: Cross multiply
    1,800.83x = 2,478.25 × 1,750.07
  4. Step 4: Simplify right side
    1,800.83x = 4,337,110.98
  5. Step 5: Solve for x
    x = 4,337,110.98/1,800.83
  6. Step 6: Final answer
    x = 2,408.40

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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.