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Finding the Fourth Proportional to 30,622.62, 45,929.74 and 8,432.81

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Solution

The fourth proportional to 30,622.62, 45,929.74 and 8,432.81 is: 12,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,622.62 : 45,929.74 = 8,432.81 : x
  2. Step 2: Convert to fraction form
    30,622.62/45,929.74 = 8,432.81/x
  3. Step 3: Cross multiply
    30,622.62x = 45,929.74 × 8,432.81
  4. Step 4: Simplify right side
    30,622.62x = 387,316,541.12
  5. Step 5: Solve for x
    x = 387,316,541.12/30,622.62
  6. Step 6: Final answer
    x = 12,648.05

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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.