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Finding the Fourth Proportional to 10,298.69, 14,214.92 and 7,112.51

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Solution

The fourth proportional to 10,298.69, 14,214.92 and 7,112.51 is: 9,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.69 : 14,214.92 = 7,112.51 : x
  2. Step 2: Convert to fraction form
    10,298.69/14,214.92 = 7,112.51/x
  3. Step 3: Cross multiply
    10,298.69x = 14,214.92 × 7,112.51
  4. Step 4: Simplify right side
    10,298.69x = 101,103,654.01
  5. Step 5: Solve for x
    x = 101,103,654.01/10,298.69
  6. Step 6: Final answer
    x = 9,817.14

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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.