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Finding the Fourth Proportional to 30,616.62, 45,921.69 and 9,838.50

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Solution

The fourth proportional to 30,616.62, 45,921.69 and 9,838.50 is: 14,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.62 : 45,921.69 = 9,838.50 : x
  2. Step 2: Convert to fraction form
    30,616.62/45,921.69 = 9,838.50/x
  3. Step 3: Cross multiply
    30,616.62x = 45,921.69 × 9,838.50
  4. Step 4: Simplify right side
    30,616.62x = 451,800,547.07
  5. Step 5: Solve for x
    x = 451,800,547.07/30,616.62
  6. Step 6: Final answer
    x = 14,756.71

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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.