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Finding the Fourth Proportional to 1,870.10, 2,805.38 and 830.11

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Solution

The fourth proportional to 1,870.10, 2,805.38 and 830.11 is: 1,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.10 : 2,805.38 = 830.11 : x
  2. Step 2: Convert to fraction form
    1,870.10/2,805.38 = 830.11/x
  3. Step 3: Cross multiply
    1,870.10x = 2,805.38 × 830.11
  4. Step 4: Simplify right side
    1,870.10x = 2,328,773.99
  5. Step 5: Solve for x
    x = 2,328,773.99/1,870.10
  6. Step 6: Final answer
    x = 1,245.27

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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.