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Finding the Fourth Proportional to 10,169, 14,028.93 and 6,812.90

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Solution

The fourth proportional to 10,169, 14,028.93 and 6,812.90 is: 9,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169 : 14,028.93 = 6,812.90 : x
  2. Step 2: Convert to fraction form
    10,169/14,028.93 = 6,812.90/x
  3. Step 3: Cross multiply
    10,169x = 14,028.93 × 6,812.90
  4. Step 4: Simplify right side
    10,169x = 95,577,697.20
  5. Step 5: Solve for x
    x = 95,577,697.20/10,169
  6. Step 6: Final answer
    x = 9,398.93

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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.