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Finding the Fourth Proportional to 8,564, 11,819.28 and 4,838.24

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Solution

The fourth proportional to 8,564, 11,819.28 and 4,838.24 is: 6,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 11,819.28 = 4,838.24 : x
  2. Step 2: Convert to fraction form
    8,564/11,819.28 = 4,838.24/x
  3. Step 3: Cross multiply
    8,564x = 11,819.28 × 4,838.24
  4. Step 4: Simplify right side
    8,564x = 57,184,513.27
  5. Step 5: Solve for x
    x = 57,184,513.27/8,564
  6. Step 6: Final answer
    x = 6,677.31

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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.