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Finding the Fourth Proportional to 9,715.76, 14,571.20 and 4,784.48

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Solution

The fourth proportional to 9,715.76, 14,571.20 and 4,784.48 is: 7,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.76 : 14,571.20 = 4,784.48 : x
  2. Step 2: Convert to fraction form
    9,715.76/14,571.20 = 4,784.48/x
  3. Step 3: Cross multiply
    9,715.76x = 14,571.20 × 4,784.48
  4. Step 4: Simplify right side
    9,715.76x = 69,715,614.98
  5. Step 5: Solve for x
    x = 69,715,614.98/9,715.76
  6. Step 6: Final answer
    x = 7,175.52

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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.