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Finding the Fourth Proportional to 7,970.61, 10,991.82 and 6,078.84

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Solution

The fourth proportional to 7,970.61, 10,991.82 and 6,078.84 is: 8,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.61 : 10,991.82 = 6,078.84 : x
  2. Step 2: Convert to fraction form
    7,970.61/10,991.82 = 6,078.84/x
  3. Step 3: Cross multiply
    7,970.61x = 10,991.82 × 6,078.84
  4. Step 4: Simplify right side
    7,970.61x = 66,817,515.09
  5. Step 5: Solve for x
    x = 66,817,515.09/7,970.61
  6. Step 6: Final answer
    x = 8,382.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.