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Finding the Fourth Proportional to 12,110.65, 16,713.38 and 8,070.46

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Solution

The fourth proportional to 12,110.65, 16,713.38 and 8,070.46 is: 11,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.65 : 16,713.38 = 8,070.46 : x
  2. Step 2: Convert to fraction form
    12,110.65/16,713.38 = 8,070.46/x
  3. Step 3: Cross multiply
    12,110.65x = 16,713.38 × 8,070.46
  4. Step 4: Simplify right side
    12,110.65x = 134,884,643.15
  5. Step 5: Solve for x
    x = 134,884,643.15/12,110.65
  6. Step 6: Final answer
    x = 11,137.69

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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.