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Finding the Fourth Proportional to 7,774.71, 10,720.63 and 5,252.44

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Solution

The fourth proportional to 7,774.71, 10,720.63 and 5,252.44 is: 7,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.71 : 10,720.63 = 5,252.44 : x
  2. Step 2: Convert to fraction form
    7,774.71/10,720.63 = 5,252.44/x
  3. Step 3: Cross multiply
    7,774.71x = 10,720.63 × 5,252.44
  4. Step 4: Simplify right side
    7,774.71x = 56,309,465.84
  5. Step 5: Solve for x
    x = 56,309,465.84/7,774.71
  6. Step 6: Final answer
    x = 7,242.65

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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.