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Finding the Fourth Proportional to 30,785.28, 46,176 and 8,897.28

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Solution

The fourth proportional to 30,785.28, 46,176 and 8,897.28 is: 13,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.28 : 46,176 = 8,897.28 : x
  2. Step 2: Convert to fraction form
    30,785.28/46,176 = 8,897.28/x
  3. Step 3: Cross multiply
    30,785.28x = 46,176 × 8,897.28
  4. Step 4: Simplify right side
    30,785.28x = 410,840,801.28
  5. Step 5: Solve for x
    x = 410,840,801.28/30,785.28
  6. Step 6: Final answer
    x = 13,345.37

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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.