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Finding the Fourth Proportional to 8,878.14, 13,322.52 and 7,970.49

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Solution

The fourth proportional to 8,878.14, 13,322.52 and 7,970.49 is: 11,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,878.14 : 13,322.52 = 7,970.49 : x
  2. Step 2: Convert to fraction form
    8,878.14/13,322.52 = 7,970.49/x
  3. Step 3: Cross multiply
    8,878.14x = 13,322.52 × 7,970.49
  4. Step 4: Simplify right side
    8,878.14x = 106,187,012.43
  5. Step 5: Solve for x
    x = 106,187,012.43/8,878.14
  6. Step 6: Final answer
    x = 11,960.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.