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Finding the Fourth Proportional to 31,152.92, 46,729.74 and 7,779.56

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Solution

The fourth proportional to 31,152.92, 46,729.74 and 7,779.56 is: 11,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152.92 : 46,729.74 = 7,779.56 : x
  2. Step 2: Convert to fraction form
    31,152.92/46,729.74 = 7,779.56/x
  3. Step 3: Cross multiply
    31,152.92x = 46,729.74 × 7,779.56
  4. Step 4: Simplify right side
    31,152.92x = 363,536,816.11
  5. Step 5: Solve for x
    x = 363,536,816.11/31,152.92
  6. Step 6: Final answer
    x = 11,669.43

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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.