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Finding the Fourth Proportional to 8,210.79, 11,328.80 and 5,022.93

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Solution

The fourth proportional to 8,210.79, 11,328.80 and 5,022.93 is: 6,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.79 : 11,328.80 = 5,022.93 : x
  2. Step 2: Convert to fraction form
    8,210.79/11,328.80 = 5,022.93/x
  3. Step 3: Cross multiply
    8,210.79x = 11,328.80 × 5,022.93
  4. Step 4: Simplify right side
    8,210.79x = 56,903,769.38
  5. Step 5: Solve for x
    x = 56,903,769.38/8,210.79
  6. Step 6: Final answer
    x = 6,930.36

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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.