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Finding the Fourth Proportional to 3,005.63, 4,508.47 and 814.38

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Solution

The fourth proportional to 3,005.63, 4,508.47 and 814.38 is: 1,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.63 : 4,508.47 = 814.38 : x
  2. Step 2: Convert to fraction form
    3,005.63/4,508.47 = 814.38/x
  3. Step 3: Cross multiply
    3,005.63x = 4,508.47 × 814.38
  4. Step 4: Simplify right side
    3,005.63x = 3,671,607.80
  5. Step 5: Solve for x
    x = 3,671,607.80/3,005.63
  6. Step 6: Final answer
    x = 1,221.58

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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.