Home / 5,242.84-7,864.26-1,780

Finding the Fourth Proportional to 5,242.84, 7,864.26 and 1,780

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Solution

The fourth proportional to 5,242.84, 7,864.26 and 1,780 is: 2,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.84 : 7,864.26 = 1,780 : x
  2. Step 2: Convert to fraction form
    5,242.84/7,864.26 = 1,780/x
  3. Step 3: Cross multiply
    5,242.84x = 7,864.26 × 1,780
  4. Step 4: Simplify right side
    5,242.84x = 13,998,382.80
  5. Step 5: Solve for x
    x = 13,998,382.80/5,242.84
  6. Step 6: Final answer
    x = 2,670

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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.