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Finding the Fourth Proportional to 10,813.49, 14,913.30 and 7,035.28

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Solution

The fourth proportional to 10,813.49, 14,913.30 and 7,035.28 is: 9,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.49 : 14,913.30 = 7,035.28 : x
  2. Step 2: Convert to fraction form
    10,813.49/14,913.30 = 7,035.28/x
  3. Step 3: Cross multiply
    10,813.49x = 14,913.30 × 7,035.28
  4. Step 4: Simplify right side
    10,813.49x = 104,919,241.22
  5. Step 5: Solve for x
    x = 104,919,241.22/10,813.49
  6. Step 6: Final answer
    x = 9,702.63

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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.