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Finding the Fourth Proportional to 3,802.95, 5,700.78 and 1,854.09

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Solution

The fourth proportional to 3,802.95, 5,700.78 and 1,854.09 is: 2,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.95 : 5,700.78 = 1,854.09 : x
  2. Step 2: Convert to fraction form
    3,802.95/5,700.78 = 1,854.09/x
  3. Step 3: Cross multiply
    3,802.95x = 5,700.78 × 1,854.09
  4. Step 4: Simplify right side
    3,802.95x = 10,569,759.19
  5. Step 5: Solve for x
    x = 10,569,759.19/3,802.95
  6. Step 6: Final answer
    x = 2,779.36

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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.