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Finding the Fourth Proportional to 5,666.55, 7,820.22 and 3,428.52

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Solution

The fourth proportional to 5,666.55, 7,820.22 and 3,428.52 is: 4,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.55 : 7,820.22 = 3,428.52 : x
  2. Step 2: Convert to fraction form
    5,666.55/7,820.22 = 3,428.52/x
  3. Step 3: Cross multiply
    5,666.55x = 7,820.22 × 3,428.52
  4. Step 4: Simplify right side
    5,666.55x = 26,811,780.67
  5. Step 5: Solve for x
    x = 26,811,780.67/5,666.55
  6. Step 6: Final answer
    x = 4,731.59

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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.