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Finding the Fourth Proportional to 8,813.76, 12,164.64 and 5,088

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Solution

The fourth proportional to 8,813.76, 12,164.64 and 5,088 is: 7,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.76 : 12,164.64 = 5,088 : x
  2. Step 2: Convert to fraction form
    8,813.76/12,164.64 = 5,088/x
  3. Step 3: Cross multiply
    8,813.76x = 12,164.64 × 5,088
  4. Step 4: Simplify right side
    8,813.76x = 61,893,688.32
  5. Step 5: Solve for x
    x = 61,893,688.32/8,813.76
  6. Step 6: Final answer
    x = 7,022.39

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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.