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Finding the Fourth Proportional to 21,066, 29,070.16 and 11,634.32

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Solution

The fourth proportional to 21,066, 29,070.16 and 11,634.32 is: 16,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 29,070.16 = 11,634.32 : x
  2. Step 2: Convert to fraction form
    21,066/29,070.16 = 11,634.32/x
  3. Step 3: Cross multiply
    21,066x = 29,070.16 × 11,634.32
  4. Step 4: Simplify right side
    21,066x = 338,211,543.89
  5. Step 5: Solve for x
    x = 338,211,543.89/21,066
  6. Step 6: Final answer
    x = 16,054.85

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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.