Home / 5,215-7,822.65-1,752.25

Finding the Fourth Proportional to 5,215, 7,822.65 and 1,752.25

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Solution

The fourth proportional to 5,215, 7,822.65 and 1,752.25 is: 2,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,822.65 = 1,752.25 : x
  2. Step 2: Convert to fraction form
    5,215/7,822.65 = 1,752.25/x
  3. Step 3: Cross multiply
    5,215x = 7,822.65 × 1,752.25
  4. Step 4: Simplify right side
    5,215x = 13,707,238.46
  5. Step 5: Solve for x
    x = 13,707,238.46/5,215
  6. Step 6: Final answer
    x = 2,628.43

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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.