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Finding the Fourth Proportional to 11,685.66, 16,126.86 and 6,970.24

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Solution

The fourth proportional to 11,685.66, 16,126.86 and 6,970.24 is: 9,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.66 : 16,126.86 = 6,970.24 : x
  2. Step 2: Convert to fraction form
    11,685.66/16,126.86 = 6,970.24/x
  3. Step 3: Cross multiply
    11,685.66x = 16,126.86 × 6,970.24
  4. Step 4: Simplify right side
    11,685.66x = 112,408,084.65
  5. Step 5: Solve for x
    x = 112,408,084.65/11,685.66
  6. Step 6: Final answer
    x = 9,619.32

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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.