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Finding the Fourth Proportional to 9,780.66, 13,492.31 and 6,240.15

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Solution

The fourth proportional to 9,780.66, 13,492.31 and 6,240.15 is: 8,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.66 : 13,492.31 = 6,240.15 : x
  2. Step 2: Convert to fraction form
    9,780.66/13,492.31 = 6,240.15/x
  3. Step 3: Cross multiply
    9,780.66x = 13,492.31 × 6,240.15
  4. Step 4: Simplify right side
    9,780.66x = 84,194,007.05
  5. Step 5: Solve for x
    x = 84,194,007.05/9,780.66
  6. Step 6: Final answer
    x = 8,608.21

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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.