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Finding the Fourth Proportional to 4,725, 6,520.50 and 2,629.26

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Solution

The fourth proportional to 4,725, 6,520.50 and 2,629.26 is: 3,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 6,520.50 = 2,629.26 : x
  2. Step 2: Convert to fraction form
    4,725/6,520.50 = 2,629.26/x
  3. Step 3: Cross multiply
    4,725x = 6,520.50 × 2,629.26
  4. Step 4: Simplify right side
    4,725x = 17,144,089.83
  5. Step 5: Solve for x
    x = 17,144,089.83/4,725
  6. Step 6: Final answer
    x = 3,628.38

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1.5x scale

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.