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Finding the Fourth Proportional to 7,215.51, 10,822.43 and 1,950.27

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Solution

The fourth proportional to 7,215.51, 10,822.43 and 1,950.27 is: 2,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.51 : 10,822.43 = 1,950.27 : x
  2. Step 2: Convert to fraction form
    7,215.51/10,822.43 = 1,950.27/x
  3. Step 3: Cross multiply
    7,215.51x = 10,822.43 × 1,950.27
  4. Step 4: Simplify right side
    7,215.51x = 21,106,650.80
  5. Step 5: Solve for x
    x = 21,106,650.80/7,215.51
  6. Step 6: Final answer
    x = 2,925.18

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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.