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Finding the Fourth Proportional to 9,670.77, 14,486.64 and 8,106.36

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Solution

The fourth proportional to 9,670.77, 14,486.64 and 8,106.36 is: 12,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.77 : 14,486.64 = 8,106.36 : x
  2. Step 2: Convert to fraction form
    9,670.77/14,486.64 = 8,106.36/x
  3. Step 3: Cross multiply
    9,670.77x = 14,486.64 × 8,106.36
  4. Step 4: Simplify right side
    9,670.77x = 117,433,919.03
  5. Step 5: Solve for x
    x = 117,433,919.03/9,670.77
  6. Step 6: Final answer
    x = 12,143.18

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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.