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Finding the Fourth Proportional to 1,950.51, 2,925.09 and 1,401.06

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Solution

The fourth proportional to 1,950.51, 2,925.09 and 1,401.06 is: 2,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.51 : 2,925.09 = 1,401.06 : x
  2. Step 2: Convert to fraction form
    1,950.51/2,925.09 = 1,401.06/x
  3. Step 3: Cross multiply
    1,950.51x = 2,925.09 × 1,401.06
  4. Step 4: Simplify right side
    1,950.51x = 4,098,226.60
  5. Step 5: Solve for x
    x = 4,098,226.60/1,950.51
  6. Step 6: Final answer
    x = 2,101.11

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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.