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Finding the Fourth Proportional to 30,285, 45,429.32 and 9,508.50

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Solution

The fourth proportional to 30,285, 45,429.32 and 9,508.50 is: 14,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285 : 45,429.32 = 9,508.50 : x
  2. Step 2: Convert to fraction form
    30,285/45,429.32 = 9,508.50/x
  3. Step 3: Cross multiply
    30,285x = 45,429.32 × 9,508.50
  4. Step 4: Simplify right side
    30,285x = 431,964,712.99
  5. Step 5: Solve for x
    x = 431,964,712.99/30,285
  6. Step 6: Final answer
    x = 14,263.32

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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.