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Finding the Fourth Proportional to 6,488.20, 8,952.82 and 3,655.20

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Solution

The fourth proportional to 6,488.20, 8,952.82 and 3,655.20 is: 5,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.20 : 8,952.82 = 3,655.20 : x
  2. Step 2: Convert to fraction form
    6,488.20/8,952.82 = 3,655.20/x
  3. Step 3: Cross multiply
    6,488.20x = 8,952.82 × 3,655.20
  4. Step 4: Simplify right side
    6,488.20x = 32,724,347.66
  5. Step 5: Solve for x
    x = 32,724,347.66/6,488.20
  6. Step 6: Final answer
    x = 5,043.67

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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.