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Finding the Fourth Proportional to 31,294.54, 46,941.84 and 7,920.98

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Solution

The fourth proportional to 31,294.54, 46,941.84 and 7,920.98 is: 11,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.54 : 46,941.84 = 7,920.98 : x
  2. Step 2: Convert to fraction form
    31,294.54/46,941.84 = 7,920.98/x
  3. Step 3: Cross multiply
    31,294.54x = 46,941.84 × 7,920.98
  4. Step 4: Simplify right side
    31,294.54x = 371,825,101.49
  5. Step 5: Solve for x
    x = 371,825,101.49/31,294.54
  6. Step 6: Final answer
    x = 11,881.47

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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.