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Finding the Fourth Proportional to 3,548, 5,323.26 and 2,572.40

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Solution

The fourth proportional to 3,548, 5,323.26 and 2,572.40 is: 3,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548 : 5,323.26 = 2,572.40 : x
  2. Step 2: Convert to fraction form
    3,548/5,323.26 = 2,572.40/x
  3. Step 3: Cross multiply
    3,548x = 5,323.26 × 2,572.40
  4. Step 4: Simplify right side
    3,548x = 13,693,554.02
  5. Step 5: Solve for x
    x = 13,693,554.02/3,548
  6. Step 6: Final answer
    x = 3,859.51

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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.