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Finding the Fourth Proportional to 31,391.78, 47,087.74 and 7,699.44

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Solution

The fourth proportional to 31,391.78, 47,087.74 and 7,699.44 is: 11,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.78 : 47,087.74 = 7,699.44 : x
  2. Step 2: Convert to fraction form
    31,391.78/47,087.74 = 7,699.44/x
  3. Step 3: Cross multiply
    31,391.78x = 47,087.74 × 7,699.44
  4. Step 4: Simplify right side
    31,391.78x = 362,549,228.87
  5. Step 5: Solve for x
    x = 362,549,228.87/31,391.78
  6. Step 6: Final answer
    x = 11,549.18

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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.