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Finding the Fourth Proportional to 7,309.30, 10,972.05 and 4,539.10

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Solution

The fourth proportional to 7,309.30, 10,972.05 and 4,539.10 is: 6,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.30 : 10,972.05 = 4,539.10 : x
  2. Step 2: Convert to fraction form
    7,309.30/10,972.05 = 4,539.10/x
  3. Step 3: Cross multiply
    7,309.30x = 10,972.05 × 4,539.10
  4. Step 4: Simplify right side
    7,309.30x = 49,803,232.16
  5. Step 5: Solve for x
    x = 49,803,232.16/7,309.30
  6. Step 6: Final answer
    x = 6,813.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.