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Finding the Fourth Proportional to 39,300, 58,950 and 11,597.28

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Solution

The fourth proportional to 39,300, 58,950 and 11,597.28 is: 17,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,300 : 58,950 = 11,597.28 : x
  2. Step 2: Convert to fraction form
    39,300/58,950 = 11,597.28/x
  3. Step 3: Cross multiply
    39,300x = 58,950 × 11,597.28
  4. Step 4: Simplify right side
    39,300x = 683,659,656
  5. Step 5: Solve for x
    x = 683,659,656/39,300
  6. Step 6: Final answer
    x = 17,395.92

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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.