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Finding the Fourth Proportional to 30,541.71, 45,813.95 and 8,354.59

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Solution

The fourth proportional to 30,541.71, 45,813.95 and 8,354.59 is: 12,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.71 : 45,813.95 = 8,354.59 : x
  2. Step 2: Convert to fraction form
    30,541.71/45,813.95 = 8,354.59/x
  3. Step 3: Cross multiply
    30,541.71x = 45,813.95 × 8,354.59
  4. Step 4: Simplify right side
    30,541.71x = 382,756,768.53
  5. Step 5: Solve for x
    x = 382,756,768.53/30,541.71
  6. Step 6: Final answer
    x = 12,532.26

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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.