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Finding the Fourth Proportional to 8,303.72, 11,463.86 and 5,479.24

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Solution

The fourth proportional to 8,303.72, 11,463.86 and 5,479.24 is: 7,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.72 : 11,463.86 = 5,479.24 : x
  2. Step 2: Convert to fraction form
    8,303.72/11,463.86 = 5,479.24/x
  3. Step 3: Cross multiply
    8,303.72x = 11,463.86 × 5,479.24
  4. Step 4: Simplify right side
    8,303.72x = 62,813,240.27
  5. Step 5: Solve for x
    x = 62,813,240.27/8,303.72
  6. Step 6: Final answer
    x = 7,564.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.