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Finding the Fourth Proportional to 10,465.97, 14,428.60 and 8,348.68

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Solution

The fourth proportional to 10,465.97, 14,428.60 and 8,348.68 is: 11,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.97 : 14,428.60 = 8,348.68 : x
  2. Step 2: Convert to fraction form
    10,465.97/14,428.60 = 8,348.68/x
  3. Step 3: Cross multiply
    10,465.97x = 14,428.60 × 8,348.68
  4. Step 4: Simplify right side
    10,465.97x = 120,459,680.25
  5. Step 5: Solve for x
    x = 120,459,680.25/10,465.97
  6. Step 6: Final answer
    x = 11,509.66

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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.