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Finding the Fourth Proportional to 31,320.82, 46,981.02 and 7,628.08

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Solution

The fourth proportional to 31,320.82, 46,981.02 and 7,628.08 is: 11,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320.82 : 46,981.02 = 7,628.08 : x
  2. Step 2: Convert to fraction form
    31,320.82/46,981.02 = 7,628.08/x
  3. Step 3: Cross multiply
    31,320.82x = 46,981.02 × 7,628.08
  4. Step 4: Simplify right side
    31,320.82x = 358,374,979.04
  5. Step 5: Solve for x
    x = 358,374,979.04/31,320.82
  6. Step 6: Final answer
    x = 11,442.07

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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.