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Finding the Fourth Proportional to 2,571.40, 3,853 and 1,528.93

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Solution

The fourth proportional to 2,571.40, 3,853 and 1,528.93 is: 2,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.40 : 3,853 = 1,528.93 : x
  2. Step 2: Convert to fraction form
    2,571.40/3,853 = 1,528.93/x
  3. Step 3: Cross multiply
    2,571.40x = 3,853 × 1,528.93
  4. Step 4: Simplify right side
    2,571.40x = 5,890,967.29
  5. Step 5: Solve for x
    x = 5,890,967.29/2,571.40
  6. Step 6: Final answer
    x = 2,290.96

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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.