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Finding the Fourth Proportional to 10,719.12, 14,785.50 and 7,730.22

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Solution

The fourth proportional to 10,719.12, 14,785.50 and 7,730.22 is: 10,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.12 : 14,785.50 = 7,730.22 : x
  2. Step 2: Convert to fraction form
    10,719.12/14,785.50 = 7,730.22/x
  3. Step 3: Cross multiply
    10,719.12x = 14,785.50 × 7,730.22
  4. Step 4: Simplify right side
    10,719.12x = 114,295,167.81
  5. Step 5: Solve for x
    x = 114,295,167.81/10,719.12
  6. Step 6: Final answer
    x = 10,662.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.