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Finding the Fourth Proportional to 30,009.83, 45,013.78 and 8,950.04

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Solution

The fourth proportional to 30,009.83, 45,013.78 and 8,950.04 is: 13,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.83 : 45,013.78 = 8,950.04 : x
  2. Step 2: Convert to fraction form
    30,009.83/45,013.78 = 8,950.04/x
  3. Step 3: Cross multiply
    30,009.83x = 45,013.78 × 8,950.04
  4. Step 4: Simplify right side
    30,009.83x = 402,875,131.55
  5. Step 5: Solve for x
    x = 402,875,131.55/30,009.83
  6. Step 6: Final answer
    x = 13,424.77

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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.