Home / 1,580.10-2,181.71-1,020.90

Finding the Fourth Proportional to 1,580.10, 2,181.71 and 1,020.90

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Solution

The fourth proportional to 1,580.10, 2,181.71 and 1,020.90 is: 1,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.10 : 2,181.71 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    1,580.10/2,181.71 = 1,020.90/x
  3. Step 3: Cross multiply
    1,580.10x = 2,181.71 × 1,020.90
  4. Step 4: Simplify right side
    1,580.10x = 2,227,302.63
  5. Step 5: Solve for x
    x = 2,227,302.63/1,580.10
  6. Step 6: Final answer
    x = 1,409.60

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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.