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Finding the Fourth Proportional to 5,182.95, 7,154.87 and 3,057.76

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Solution

The fourth proportional to 5,182.95, 7,154.87 and 3,057.76 is: 4,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.95 : 7,154.87 = 3,057.76 : x
  2. Step 2: Convert to fraction form
    5,182.95/7,154.87 = 3,057.76/x
  3. Step 3: Cross multiply
    5,182.95x = 7,154.87 × 3,057.76
  4. Step 4: Simplify right side
    5,182.95x = 21,877,875.29
  5. Step 5: Solve for x
    x = 21,877,875.29/5,182.95
  6. Step 6: Final answer
    x = 4,221.12

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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.