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Finding the Fourth Proportional to 9,806.95, 13,528.15 and 6,215.32

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Solution

The fourth proportional to 9,806.95, 13,528.15 and 6,215.32 is: 8,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.95 : 13,528.15 = 6,215.32 : x
  2. Step 2: Convert to fraction form
    9,806.95/13,528.15 = 6,215.32/x
  3. Step 3: Cross multiply
    9,806.95x = 13,528.15 × 6,215.32
  4. Step 4: Simplify right side
    9,806.95x = 84,081,781.26
  5. Step 5: Solve for x
    x = 84,081,781.26/9,806.95
  6. Step 6: Final answer
    x = 8,573.69

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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.