Home / 5,215.24-7,823.09-1,705.46

Finding the Fourth Proportional to 5,215.24, 7,823.09 and 1,705.46

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Solution

The fourth proportional to 5,215.24, 7,823.09 and 1,705.46 is: 2,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.24 : 7,823.09 = 1,705.46 : x
  2. Step 2: Convert to fraction form
    5,215.24/7,823.09 = 1,705.46/x
  3. Step 3: Cross multiply
    5,215.24x = 7,823.09 × 1,705.46
  4. Step 4: Simplify right side
    5,215.24x = 13,341,967.07
  5. Step 5: Solve for x
    x = 13,341,967.07/5,215.24
  6. Step 6: Final answer
    x = 2,558.27

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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.