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Finding the Fourth Proportional to 1,886.10, 2,829.29 and 790.31

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Solution

The fourth proportional to 1,886.10, 2,829.29 and 790.31 is: 1,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.10 : 2,829.29 = 790.31 : x
  2. Step 2: Convert to fraction form
    1,886.10/2,829.29 = 790.31/x
  3. Step 3: Cross multiply
    1,886.10x = 2,829.29 × 790.31
  4. Step 4: Simplify right side
    1,886.10x = 2,235,998.08
  5. Step 5: Solve for x
    x = 2,235,998.08/1,886.10
  6. Step 6: Final answer
    x = 1,185.51

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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.