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Finding the Fourth Proportional to 31,294.10, 46,941.18 and 7,920.54

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Solution

The fourth proportional to 31,294.10, 46,941.18 and 7,920.54 is: 11,880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.10 : 46,941.18 = 7,920.54 : x
  2. Step 2: Convert to fraction form
    31,294.10/46,941.18 = 7,920.54/x
  3. Step 3: Cross multiply
    31,294.10x = 46,941.18 × 7,920.54
  4. Step 4: Simplify right side
    31,294.10x = 371,799,493.84
  5. Step 5: Solve for x
    x = 371,799,493.84/31,294.10
  6. Step 6: Final answer
    x = 11,880.82

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1.5x scale

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.