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Finding the Fourth Proportional to 7,309.98, 10,953.36 and 5,219.64

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Solution

The fourth proportional to 7,309.98, 10,953.36 and 5,219.64 is: 7,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.98 : 10,953.36 = 5,219.64 : x
  2. Step 2: Convert to fraction form
    7,309.98/10,953.36 = 5,219.64/x
  3. Step 3: Cross multiply
    7,309.98x = 10,953.36 × 5,219.64
  4. Step 4: Simplify right side
    7,309.98x = 57,172,595.99
  5. Step 5: Solve for x
    x = 57,172,595.99/7,309.98
  6. Step 6: Final answer
    x = 7,821.17

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1.5x scale

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.