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Finding the Fourth Proportional to 8,864.71, 13,284.52 and 4,917.70

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Solution

The fourth proportional to 8,864.71, 13,284.52 and 4,917.70 is: 7,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.71 : 13,284.52 = 4,917.70 : x
  2. Step 2: Convert to fraction form
    8,864.71/13,284.52 = 4,917.70/x
  3. Step 3: Cross multiply
    8,864.71x = 13,284.52 × 4,917.70
  4. Step 4: Simplify right side
    8,864.71x = 65,329,238.50
  5. Step 5: Solve for x
    x = 65,329,238.50/8,864.71
  6. Step 6: Final answer
    x = 7,369.59

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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.