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Finding the Fourth Proportional to 31,740.95, 47,610.95 and 7,725.34

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Solution

The fourth proportional to 31,740.95, 47,610.95 and 7,725.34 is: 11,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.95 : 47,610.95 = 7,725.34 : x
  2. Step 2: Convert to fraction form
    31,740.95/47,610.95 = 7,725.34/x
  3. Step 3: Cross multiply
    31,740.95x = 47,610.95 × 7,725.34
  4. Step 4: Simplify right side
    31,740.95x = 367,810,650.82
  5. Step 5: Solve for x
    x = 367,810,650.82/31,740.95
  6. Step 6: Final answer
    x = 11,587.89

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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.