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Finding the Fourth Proportional to 30,628, 45,925.02 and 11,896.48

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Solution

The fourth proportional to 30,628, 45,925.02 and 11,896.48 is: 17,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628 : 45,925.02 = 11,896.48 : x
  2. Step 2: Convert to fraction form
    30,628/45,925.02 = 11,896.48/x
  3. Step 3: Cross multiply
    30,628x = 45,925.02 × 11,896.48
  4. Step 4: Simplify right side
    30,628x = 546,346,081.93
  5. Step 5: Solve for x
    x = 546,346,081.93/30,628
  6. Step 6: Final answer
    x = 17,838.12

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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.