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Finding the Fourth Proportional to 4,740, 6,540.72 and 2,643.76

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Solution

The fourth proportional to 4,740, 6,540.72 and 2,643.76 is: 3,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 6,540.72 = 2,643.76 : x
  2. Step 2: Convert to fraction form
    4,740/6,540.72 = 2,643.76/x
  3. Step 3: Cross multiply
    4,740x = 6,540.72 × 2,643.76
  4. Step 4: Simplify right side
    4,740x = 17,292,093.91
  5. Step 5: Solve for x
    x = 17,292,093.91/4,740
  6. Step 6: Final answer
    x = 3,648.12

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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.