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Finding the Fourth Proportional to 1,527.84, 2,290.50 and 1,441.98

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Solution

The fourth proportional to 1,527.84, 2,290.50 and 1,441.98 is: 2,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.84 : 2,290.50 = 1,441.98 : x
  2. Step 2: Convert to fraction form
    1,527.84/2,290.50 = 1,441.98/x
  3. Step 3: Cross multiply
    1,527.84x = 2,290.50 × 1,441.98
  4. Step 4: Simplify right side
    1,527.84x = 3,302,855.19
  5. Step 5: Solve for x
    x = 3,302,855.19/1,527.84
  6. Step 6: Final answer
    x = 2,161.78

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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.