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Finding the Fourth Proportional to 30,678, 45,989.52 and 10,953.72

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Solution

The fourth proportional to 30,678, 45,989.52 and 10,953.72 is: 16,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 45,989.52 = 10,953.72 : x
  2. Step 2: Convert to fraction form
    30,678/45,989.52 = 10,953.72/x
  3. Step 3: Cross multiply
    30,678x = 45,989.52 × 10,953.72
  4. Step 4: Simplify right side
    30,678x = 503,756,325.01
  5. Step 5: Solve for x
    x = 503,756,325.01/30,678
  6. Step 6: Final answer
    x = 16,420.77

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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.