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Finding the Fourth Proportional to 5,133.69, 7,700.54 and 1,238.09

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Solution

The fourth proportional to 5,133.69, 7,700.54 and 1,238.09 is: 1,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.69 : 7,700.54 = 1,238.09 : x
  2. Step 2: Convert to fraction form
    5,133.69/7,700.54 = 1,238.09/x
  3. Step 3: Cross multiply
    5,133.69x = 7,700.54 × 1,238.09
  4. Step 4: Simplify right side
    5,133.69x = 9,533,916.88
  5. Step 5: Solve for x
    x = 9,533,916.88/5,133.69
  6. Step 6: Final answer
    x = 1,857.13

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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.