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Finding the Fourth Proportional to 10,640.43, 14,683.95 and 6,164.51

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Solution

The fourth proportional to 10,640.43, 14,683.95 and 6,164.51 is: 8,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.43 : 14,683.95 = 6,164.51 : x
  2. Step 2: Convert to fraction form
    10,640.43/14,683.95 = 6,164.51/x
  3. Step 3: Cross multiply
    10,640.43x = 14,683.95 × 6,164.51
  4. Step 4: Simplify right side
    10,640.43x = 90,519,283.19
  5. Step 5: Solve for x
    x = 90,519,283.19/10,640.43
  6. Step 6: Final answer
    x = 8,507.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.