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Finding the Fourth Proportional to 8,635.28, 11,916.63 and 4,909.28

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Solution

The fourth proportional to 8,635.28, 11,916.63 and 4,909.28 is: 6,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.28 : 11,916.63 = 4,909.28 : x
  2. Step 2: Convert to fraction form
    8,635.28/11,916.63 = 4,909.28/x
  3. Step 3: Cross multiply
    8,635.28x = 11,916.63 × 4,909.28
  4. Step 4: Simplify right side
    8,635.28x = 58,502,013.74
  5. Step 5: Solve for x
    x = 58,502,013.74/8,635.28
  6. Step 6: Final answer
    x = 6,774.77

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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.