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Finding the Fourth Proportional to 11,643.12, 16,070.94 and 6,930.54

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Solution

The fourth proportional to 11,643.12, 16,070.94 and 6,930.54 is: 9,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.12 : 16,070.94 = 6,930.54 : x
  2. Step 2: Convert to fraction form
    11,643.12/16,070.94 = 6,930.54/x
  3. Step 3: Cross multiply
    11,643.12x = 16,070.94 × 6,930.54
  4. Step 4: Simplify right side
    11,643.12x = 111,380,292.51
  5. Step 5: Solve for x
    x = 111,380,292.51/11,643.12
  6. Step 6: Final answer
    x = 9,566.19

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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.