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Finding the Fourth Proportional to 31,077, 46,615.86 and 7,703.64

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Solution

The fourth proportional to 31,077, 46,615.86 and 7,703.64 is: 11,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,077 : 46,615.86 = 7,703.64 : x
  2. Step 2: Convert to fraction form
    31,077/46,615.86 = 7,703.64/x
  3. Step 3: Cross multiply
    31,077x = 46,615.86 × 7,703.64
  4. Step 4: Simplify right side
    31,077x = 359,111,803.73
  5. Step 5: Solve for x
    x = 359,111,803.73/31,077
  6. Step 6: Final answer
    x = 11,555.55

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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.