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Finding the Fourth Proportional to 31,155, 46,731.84 and 7,781.64

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Solution

The fourth proportional to 31,155, 46,731.84 and 7,781.64 is: 11,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155 : 46,731.84 = 7,781.64 : x
  2. Step 2: Convert to fraction form
    31,155/46,731.84 = 7,781.64/x
  3. Step 3: Cross multiply
    31,155x = 46,731.84 × 7,781.64
  4. Step 4: Simplify right side
    31,155x = 363,650,355.42
  5. Step 5: Solve for x
    x = 363,650,355.42/31,155
  6. Step 6: Final answer
    x = 11,672.30

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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.