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Finding the Fourth Proportional to 5,610.64, 7,756.68 and 4,210.96

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Solution

The fourth proportional to 5,610.64, 7,756.68 and 4,210.96 is: 5,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.64 : 7,756.68 = 4,210.96 : x
  2. Step 2: Convert to fraction form
    5,610.64/7,756.68 = 4,210.96/x
  3. Step 3: Cross multiply
    5,610.64x = 7,756.68 × 4,210.96
  4. Step 4: Simplify right side
    5,610.64x = 32,663,069.21
  5. Step 5: Solve for x
    x = 32,663,069.21/5,610.64
  6. Step 6: Final answer
    x = 5,821.63

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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.