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Finding the Fourth Proportional to 31,102.45, 46,653.64 and 7,728.89

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Solution

The fourth proportional to 31,102.45, 46,653.64 and 7,728.89 is: 11,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.45 : 46,653.64 = 7,728.89 : x
  2. Step 2: Convert to fraction form
    31,102.45/46,653.64 = 7,728.89/x
  3. Step 3: Cross multiply
    31,102.45x = 46,653.64 × 7,728.89
  4. Step 4: Simplify right side
    31,102.45x = 360,580,599.07
  5. Step 5: Solve for x
    x = 360,580,599.07/31,102.45
  6. Step 6: Final answer
    x = 11,593.32

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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.