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Finding the Fourth Proportional to 5,654.25, 8,491.10 and 5,139.09

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Solution

The fourth proportional to 5,654.25, 8,491.10 and 5,139.09 is: 7,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.25 : 8,491.10 = 5,139.09 : x
  2. Step 2: Convert to fraction form
    5,654.25/8,491.10 = 5,139.09/x
  3. Step 3: Cross multiply
    5,654.25x = 8,491.10 × 5,139.09
  4. Step 4: Simplify right side
    5,654.25x = 43,636,501.40
  5. Step 5: Solve for x
    x = 43,636,501.40/5,654.25
  6. Step 6: Final answer
    x = 7,717.47

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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.