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Finding the Fourth Proportional to 5,545, 7,652.28 and 3,448

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Solution

The fourth proportional to 5,545, 7,652.28 and 3,448 is: 4,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545 : 7,652.28 = 3,448 : x
  2. Step 2: Convert to fraction form
    5,545/7,652.28 = 3,448/x
  3. Step 3: Cross multiply
    5,545x = 7,652.28 × 3,448
  4. Step 4: Simplify right side
    5,545x = 26,385,061.44
  5. Step 5: Solve for x
    x = 26,385,061.44/5,545
  6. Step 6: Final answer
    x = 4,758.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.