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Finding the Fourth Proportional to 30,639, 45,957 and 9,578.86

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Solution

The fourth proportional to 30,639, 45,957 and 9,578.86 is: 14,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639 : 45,957 = 9,578.86 : x
  2. Step 2: Convert to fraction form
    30,639/45,957 = 9,578.86/x
  3. Step 3: Cross multiply
    30,639x = 45,957 × 9,578.86
  4. Step 4: Simplify right side
    30,639x = 440,215,669.02
  5. Step 5: Solve for x
    x = 440,215,669.02/30,639
  6. Step 6: Final answer
    x = 14,367.82

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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.