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Finding the Fourth Proportional to 51,590.16, 77,382 and 30,798

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Solution

The fourth proportional to 51,590.16, 77,382 and 30,798 is: 46,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590.16 : 77,382 = 30,798 : x
  2. Step 2: Convert to fraction form
    51,590.16/77,382 = 30,798/x
  3. Step 3: Cross multiply
    51,590.16x = 77,382 × 30,798
  4. Step 4: Simplify right side
    51,590.16x = 2,383,210,836
  5. Step 5: Solve for x
    x = 2,383,210,836/51,590.16
  6. Step 6: Final answer
    x = 46,195.07

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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.