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Finding the Fourth Proportional to 11,465.49, 15,823.04 and 6,431.33

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Solution

The fourth proportional to 11,465.49, 15,823.04 and 6,431.33 is: 8,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.49 : 15,823.04 = 6,431.33 : x
  2. Step 2: Convert to fraction form
    11,465.49/15,823.04 = 6,431.33/x
  3. Step 3: Cross multiply
    11,465.49x = 15,823.04 × 6,431.33
  4. Step 4: Simplify right side
    11,465.49x = 101,763,080.57
  5. Step 5: Solve for x
    x = 101,763,080.57/11,465.49
  6. Step 6: Final answer
    x = 8,875.60

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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.