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Finding the Fourth Proportional to 30,785.32, 46,178.00 and 7,411.76

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Solution

The fourth proportional to 30,785.32, 46,178.00 and 7,411.76 is: 11,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.32 : 46,178.00 = 7,411.76 : x
  2. Step 2: Convert to fraction form
    30,785.32/46,178.00 = 7,411.76/x
  3. Step 3: Cross multiply
    30,785.32x = 46,178.00 × 7,411.76
  4. Step 4: Simplify right side
    30,785.32x = 342,259,985.33
  5. Step 5: Solve for x
    x = 342,259,985.33/30,785.32
  6. Step 6: Final answer
    x = 11,117.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.