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Finding the Fourth Proportional to 31,191.64, 46,788.44 and 7,818.56

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Solution

The fourth proportional to 31,191.64, 46,788.44 and 7,818.56 is: 11,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.64 : 46,788.44 = 7,818.56 : x
  2. Step 2: Convert to fraction form
    31,191.64/46,788.44 = 7,818.56/x
  3. Step 3: Cross multiply
    31,191.64x = 46,788.44 × 7,818.56
  4. Step 4: Simplify right side
    31,191.64x = 365,818,225.45
  5. Step 5: Solve for x
    x = 365,818,225.45/31,191.64
  6. Step 6: Final answer
    x = 11,728.09

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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.