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Finding the Fourth Proportional to 4,760.84, 7,140.86 and 1,640.84

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Solution

The fourth proportional to 4,760.84, 7,140.86 and 1,640.84 is: 2,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.84 : 7,140.86 = 1,640.84 : x
  2. Step 2: Convert to fraction form
    4,760.84/7,140.86 = 1,640.84/x
  3. Step 3: Cross multiply
    4,760.84x = 7,140.86 × 1,640.84
  4. Step 4: Simplify right side
    4,760.84x = 11,717,008.72
  5. Step 5: Solve for x
    x = 11,717,008.72/4,760.84
  6. Step 6: Final answer
    x = 2,461.12

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1.5x scale

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.