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Finding the Fourth Proportional to 7,715.68, 11,574 and 7,322.08

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Solution

The fourth proportional to 7,715.68, 11,574 and 7,322.08 is: 10,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.68 : 11,574 = 7,322.08 : x
  2. Step 2: Convert to fraction form
    7,715.68/11,574 = 7,322.08/x
  3. Step 3: Cross multiply
    7,715.68x = 11,574 × 7,322.08
  4. Step 4: Simplify right side
    7,715.68x = 84,745,753.92
  5. Step 5: Solve for x
    x = 84,745,753.92/7,715.68
  6. Step 6: Final answer
    x = 10,983.58

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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.