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Finding the Fourth Proportional to 31,178.79, 46,768.05 and 7,805.16

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Solution

The fourth proportional to 31,178.79, 46,768.05 and 7,805.16 is: 11,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.79 : 46,768.05 = 7,805.16 : x
  2. Step 2: Convert to fraction form
    31,178.79/46,768.05 = 7,805.16/x
  3. Step 3: Cross multiply
    31,178.79x = 46,768.05 × 7,805.16
  4. Step 4: Simplify right side
    31,178.79x = 365,032,113.14
  5. Step 5: Solve for x
    x = 365,032,113.14/31,178.79
  6. Step 6: Final answer
    x = 11,707.71

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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.