Home / 2,526.10-3,486.72-1,780

Finding the Fourth Proportional to 2,526.10, 3,486.72 and 1,780

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Solution

The fourth proportional to 2,526.10, 3,486.72 and 1,780 is: 2,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.10 : 3,486.72 = 1,780 : x
  2. Step 2: Convert to fraction form
    2,526.10/3,486.72 = 1,780/x
  3. Step 3: Cross multiply
    2,526.10x = 3,486.72 × 1,780
  4. Step 4: Simplify right side
    2,526.10x = 6,206,361.60
  5. Step 5: Solve for x
    x = 6,206,361.60/2,526.10
  6. Step 6: Final answer
    x = 2,456.89

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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.